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13112312220 = 22325759176383
BaseRepresentation
bin11000011011000111…
…00000000110011100
31020211211010110212100
430031203200012130
5203323222442340
610005042205100
7642635546340
oct141543400634
936754113770
1013112312220
115619616277
12265b353790
13130c736637
148c5643620
1551b239830
hex30d8e019c

13112312220 has 144 divisors (see below), whose sum is σ = 46226718720. Its totient is φ = 2946284928.

The previous prime is 13112312207. The next prime is 13112312221. The reversal of 13112312220 is 2221321131.

13112312220 is a `hidden beast` number, since 131 + 1 + 2 + 312 + 220 = 666.

It is a super-2 number, since 2×131123122202 (a number of 21 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 = 13112312193 and 13112312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112312221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13852 + ... + 162531.

It is an arithmetic number, because the mean of its divisors is an integer number (321018880).

Almost surely, 213112312220 is an apocalyptic number.

13112312220 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 13112312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113359360).

13112312220 is an abundant number, since it is smaller than the sum of its proper divisors (33114406500).

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

13112312220 is a wasteful number, since it uses less digits than its factorization.

13112312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176464 (or 176459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13112312220 its reverse (2221321131), we get a palindrome (15333633351).

The spelling of 13112312220 in words is "thirteen billion, one hundred twelve million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 590 630 708 826 885 1062 1180 1239 1260 1652 1770 2065 2124 2478 2655 3540 3717 4130 4956 5310 6195 7434 8260 10620 12390 14868 18585 24780 37170 74340 176383 352766 529149 705532 881915 1058298 1234681 1587447 1763830 2116596 2469362 2645745 3174894 3527660 3704043 4938724 5291490 6173405 6349788 7408086 7937235 10406597 10582980 11112129 12346810 14816172 15874470 18520215 20813194 22224258 24693620 31219791 31748940 37040430 41626388 44448516 52032985 55560645 62439582 72846179 74080860 93659373 104065970 111121290 124879164 145692358 156098955 187318746 208131940 218538537 222242580 291384716 312197910 364230895 374637492 437077074 468296865 624395820 655615611 728461790 874154148 936593730 1092692685 1311231222 1456923580 1873187460 2185385370 2622462444 3278078055 4370770740 6556156110 13112312220