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113340072104 = 2373371517393
BaseRepresentation
bin110100110001110011…
…0000100000010101000
3101211112212100012221022
41221203212010002220
53324110024301404
6124022343032012
711121446501000
oct1514346040250
9354485305838
10113340072104
1144081574786
1219b7143b608
13a8c349c82c
1456b2a31000
152e354638be
hex1a639840a8

113340072104 has 128 divisors (see below), whose sum is σ = 256246464000. Its totient is φ = 46942156800.

The previous prime is 113340072073. The next prime is 113340072119. The reversal of 113340072104 is 401270043311.

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, 15327032 + ... + 15334424.

It is an arithmetic number, because the mean of its divisors is an integer number (2001925500).

Almost surely, 2113340072104 is an apocalyptic number.

113340072104 is a gapful number since it is divisible by the number (14) 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 113340072104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128123232000).

113340072104 is an abundant number, since it is smaller than the sum of its proper divisors (142906391896).

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

113340072104 is a wasteful number, since it uses less digits than its factorization.

113340072104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 113340072104 in words is "one hundred thirteen billion, three hundred forty million, seventy-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 151 196 259 296 302 343 392 518 604 686 1036 1057 1208 1372 1813 2072 2114 2744 3626 4228 5587 7252 7393 7399 8456 11174 12691 14504 14786 14798 22348 25382 29572 29596 39109 44696 50764 51751 51793 59144 59192 78218 101528 103502 103586 156436 207004 207172 273541 273763 312872 362257 414008 414344 547082 547526 724514 1094164 1095052 1116343 1449028 1914787 1916341 2188328 2190104 2232686 2535799 2898056 3829574 3832682 4465372 5071598 7659148 7665364 7814401 8930744 10143196 13403509 15318296 15330728 15628802 20286392 26807018 31257604 41304691 53614036 54700807 62515208 82609382 93824563 107228072 109401614 165218764 187649126 218803228 289132837 330437528 375298252 382905649 437606456 578265674 750596504 765811298 1156531348 1531622596 2023929859 2313062696 3063245192 4047859718 8095719436 14167509013 16191438872 28335018026 56670036052 113340072104