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23131340120 = 23572310393457
BaseRepresentation
bin10101100010101111…
…000011110101011000
32012201001200211100202
4111202233003311120
5334333110340440
614343144521332
71446134101250
oct254257036530
965631624322
1023131340120
1198a0047219
124596780248
132248356905
14119611a960
15905b05615
hex562bc3d58

23131340120 has 128 divisors (see below), whose sum is σ = 62144409600. Its totient is φ = 7576436736.

The previous prime is 23131340077. The next prime is 23131340123. The reversal of 23131340120 is 2104313132.

It is a super-2 number, since 2×231313401202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23131340092 and 23131340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131340123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6689432 + ... + 6692888.

It is an arithmetic number, because the mean of its divisors is an integer number (485503200).

Almost surely, 223131340120 is an apocalyptic number.

23131340120 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 23131340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072204800).

23131340120 is an abundant number, since it is smaller than the sum of its proper divisors (39013069480).

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

23131340120 is a wasteful number, since it uses less digits than its factorization.

23131340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23131340120 its reverse (2104313132), we get a palindrome (25235653252).

The spelling of 23131340120 in words is "twenty-three billion, one hundred thirty-one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1039 1288 1610 2078 3220 3457 4156 5195 6440 6914 7273 8312 10390 13828 14546 17285 20780 23897 24199 27656 29092 34570 36365 41560 47794 48398 58184 69140 72730 79511 95588 96796 119485 120995 138280 145460 159022 167279 191176 193592 238970 241990 290920 318044 334558 397555 477940 483980 556577 636088 669116 795110 836395 955880 967960 1113154 1338232 1590220 1672790 2226308 2782885 3180440 3345580 3591823 4452616 5565770 6691160 7183646 11131540 14367292 17959115 22263080 25142761 28734584 35918230 50285522 71836460 82611929 100571044 125713805 143672920 165223858 201142088 251427610 330447716 413059645 502855220 578283503 660895432 826119290 1005710440 1156567006 1652238580 2313134012 2891417515 3304477160 4626268024 5782835030 11565670060 23131340120