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13022103022020 = 22325314673499403
BaseRepresentation
bin1011110101111111000111…
…0100110010100111000100
31201002220022202020101101200
42331133301310302213010
53201323231333201040
643410134353022500
72512546565240001
oct275376164624704
951086282211350
1013022103022020
114170708741344
12156392bb54a30
13735c95c6b581
143303b77428a8
15178b04d65630
hexbd7f1d329c4

13022103022020 has 144 divisors (see below), whose sum is σ = 40783392179712. Its totient is φ = 3359816847360.

The previous prime is 13022103021929. The next prime is 13022103022043. The reversal of 13022103022020 is 2022030122031.

13022103022020 is a `hidden beast` number, since 1 + 302 + 21 + 0 + 302 + 20 + 20 = 666.

It is a super-2 number, since 2×130221030220202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13022103021984 and 13022103022002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25825639 + ... + 26325041.

It is an arithmetic number, because the mean of its divisors is an integer number (283218001248).

Almost surely, 213022103022020 is an apocalyptic number.

13022103022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022103022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391696089856).

13022103022020 is an abundant number, since it is smaller than the sum of its proper divisors (27761289157692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13022103022020 is a wasteful number, since it uses less digits than its factorization.

13022103022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504122 (or 504117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13022103022020 its reverse (2022030122031), we get a palindrome (15044133144051).

The spelling of 13022103022020 in words is "thirteen trillion, twenty-two billion, one hundred three million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 4673 5580 9346 14019 18692 23365 28038 42057 46730 56076 70095 84114 93460 140190 144863 168228 210285 280380 289726 420570 434589 499403 579452 724315 841140 869178 998806 1303767 1448630 1498209 1738356 1997612 2172945 2497015 2607534 2897260 2996418 4345890 4494627 4994030 5215068 5992836 6518835 7491045 8691780 8989254 9988060 13037670 14982090 15481493 17978508 22473135 26075340 29964180 30962986 44946270 46444479 61925972 77407465 89892540 92888958 139333437 154814930 185777916 232222395 278666874 309629860 464444790 557333748 696667185 928889580 1393334370 2333710219 2786668740 4667420438 7001130657 9334840876 11668551095 14002261314 21003391971 23337102190 28004522628 35005653285 42006783942 46674204380 70011306570 72345016789 84013567884 105016959855 140022613140 144690033578 210033919710 217035050367 289380067156 361725083945 420067839420 434070100734 651105151101 723450167890 868140201468 1085175251835 1302210302202 1446900335780 2170350503670 2604420604404 3255525755505 4340701007340 6511051511010 13022103022020