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20211010120 = 23571311972797
BaseRepresentation
bin10010110100101010…
…111000101001001000
31221011112120200201101
4102310222320221020
5312343004310440
613141304031144
71313563515520
oct226452705110
957145520641
1020211010120
118631652054
123b007624b4
131ba13184b2
14d9a332680
157d454c69a
hex4b4ab8a48

20211010120 has 128 divisors (see below), whose sum is σ = 52652540160. Its totient is φ = 6839239680.

The previous prime is 20211010093. The next prime is 20211010159. The reversal of 20211010120 is 2101011202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20211010097 and 20211010106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7224562 + ... + 7227358.

It is an arithmetic number, because the mean of its divisors is an integer number (411347970).

Almost surely, 220211010120 is an apocalyptic number.

20211010120 is a gapful number since it is divisible by the number (20) 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 20211010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26326270080).

20211010120 is an abundant number, since it is smaller than the sum of its proper divisors (32441530040).

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

20211010120 is a wasteful number, since it uses less digits than its factorization.

20211010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20211010120 its reverse (2101011202), we get a palindrome (22312021322).

The spelling of 20211010120 in words is "twenty billion, two hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 197 262 280 394 524 655 788 917 985 1048 1310 1379 1576 1834 1970 2620 2758 2797 3668 3940 4585 5240 5516 5594 6895 7336 7880 9170 11032 11188 13790 13985 18340 19579 22376 25807 27580 27970 36680 39158 51614 55160 55940 78316 97895 103228 111880 129035 156632 180649 195790 206456 258070 361298 366407 391580 516140 551009 722596 732814 783160 903245 1032280 1102018 1445192 1465628 1806490 1832035 2204036 2564849 2755045 2931256 3612980 3664070 3857063 4408072 5129698 5510090 7225960 7328140 7714126 10259396 11020180 12824245 14656280 15428252 19285315 20518792 22040360 25648490 30856504 38570630 51296980 72182179 77141260 102593960 144364358 154282520 288728716 360910895 505275253 577457432 721821790 1010550506 1443643580 2021101012 2526376265 2887287160 4042202024 5052752530 10105505060 20211010120