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113210122320 = 24325179249193
BaseRepresentation
bin110100101101111011…
…0010110000001010000
3101211012210211002100100
41221123312112001100
53323323242403240
6124001421452400
711115311106441
oct1513366260120
9354183732310
10113210122320
1144015187569
1219b35a11100
13a8a25a0b79
14569d6852c8
152e28d44e30
hex1a5bd96050

113210122320 has 120 divisors (see below), whose sum is σ = 402561919656. Its totient is φ = 28413517824.

The previous prime is 113210122301. The next prime is 113210122321. The reversal of 113210122320 is 23221012311.

113210122320 is a `hidden beast` number, since 1 + 1 + 321 + 0 + 1 + 22 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56465165376 + 56744956944 = 237624^2 + 238212^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 113210122293 and 113210122302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113210122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4612357 + ... + 4636836.

Almost surely, 2113210122320 is an apocalyptic number.

113210122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113210122320 is an abundant number, since it is smaller than the sum of its proper divisors (289351797336).

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

113210122320 is a wasteful number, since it uses less digits than its factorization.

113210122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249229 (or 9249220 counting only the distinct ones).

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

Adding to 113210122320 its reverse (23221012311), we get a palindrome (136431134631).

The spelling of 113210122320 in words is "one hundred thirteen billion, two hundred ten million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 9249193 18498386 27747579 36996772 46245965 55495158 73993544 83242737 92491930 110990316 138737895 147987088 157236281 166485474 184983860 221980632 277475790 314472562 332970948 369967720 416213685 443961264 471708843 554951580 628945124 665941896 739935440 786181405 832427370 943417686 1109903160 1257890248 1331883792 1415126529 1572362810 1664854740 1886835372 2219806320 2358544215 2515780496 2830253058 3144725620 3329709480 3773670744 4717088430 5660506116 6289451240 6659418960 7075632645 7547341488 9434176860 11321012232 12578902480 14151265290 18868353720 22642024464 28302530580 37736707440 56605061160 113210122320