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113212141460 = 225112354740903
BaseRepresentation
bin110100101101111111…
…0000010111110010100
3101211012221121200002022
41221123332002332110
53323324302011320
6124001533032312
711115334216235
oct1513376027624
9354187550068
10113212141460
1144016336580
1219b36625698
13a8a2b29c22
14569da4d08c
152e290e3325
hex1a5bf82f94

113212141460 has 96 divisors (see below), whose sum is σ = 271136581632. Its totient is φ = 39305185920.

The previous prime is 113212141439. The next prime is 113212141501. The reversal of 113212141460 is 64141212311.

It is a super-3 number, since 3×1132121414603 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 2747369 + ... + 2788271.

It is an arithmetic number, because the mean of its divisors is an integer number (2824339392).

Almost surely, 2113212141460 is an apocalyptic number.

113212141460 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 113212141460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135568290816).

113212141460 is an abundant number, since it is smaller than the sum of its proper divisors (157924440172).

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

113212141460 is a wasteful number, since it uses less digits than its factorization.

113212141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41493 (or 41491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 113212141460 its reverse (64141212311), we get a palindrome (177353353771).

The spelling of 113212141460 in words is "one hundred thirteen billion, two hundred twelve million, one hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 547 1012 1094 1265 2188 2530 2735 5060 5470 6017 10940 12034 12581 24068 25162 30085 40903 50324 60170 62905 81806 120340 125810 138391 163612 204515 251620 276782 409030 449933 553564 691955 818060 899866 940769 1383910 1799732 1881538 2249665 2767820 3763076 4499330 4703845 8998660 9407690 10348459 18815380 20696918 22373941 41393836 44747882 51742295 89495764 103484590 111869705 206969180 223739410 246113351 447478820 492226702 514600643 984453404 1029201286 1230566755 2058402572 2461133510 2573003215 4922267020 5146006430 5660607073 10292012860 11321214146 22642428292 28303035365 56606070730 113212141460