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113001000120 = 23325372784221
BaseRepresentation
bin110100100111101100…
…0100110110010111000
3101210200020022120121200
41221033120212302320
53322411224000440
6123524551334200
711110161436641
oct1511730466270
9353606276550
10113001000120
1143a181339a8
1219a97981360
13a86b171718
14567d9aa6c8
152e157d7c30
hex1a4f626cb8

113001000120 has 96 divisors (see below), whose sum is σ = 367356150720. Its totient is φ = 30125157120.

The previous prime is 113001000113. The next prime is 113001000137. The reversal of 113001000120 is 21000100311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299610 + ... + 1383830.

It is an arithmetic number, because the mean of its divisors is an integer number (3826626570).

Almost surely, 2113001000120 is an apocalyptic number.

113001000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113001000120 is an abundant number, since it is smaller than the sum of its proper divisors (254355150600).

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

113001000120 is a wasteful number, since it uses less digits than its factorization.

113001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87965 (or 87958 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 113001000120 its reverse (21000100311), we get a palindrome (134001100431).

The spelling of 113001000120 in words is "one hundred thirteen billion, one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3727 7454 11181 14908 18635 22362 29816 33543 37270 44724 55905 67086 74540 84221 89448 111810 134172 149080 167715 168442 223620 252663 268344 335430 336884 421105 447240 505326 670860 673768 757989 842210 1010652 1263315 1341720 1515978 1684420 2021304 2526630 3031956 3368840 3789945 5053260 6063912 7579890 10106520 15159780 30319560 313891667 627783334 941675001 1255566668 1569458335 1883350002 2511133336 2825025003 3138916670 3766700004 4708375005 5650050006 6277833340 7533400008 9416750010 11300100012 12555666680 14125125015 18833500020 22600200024 28250250030 37667000040 56500500060 113001000120