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113012423016 = 233192910338273
BaseRepresentation
bin110100101000000010…
…0001011100101101000
3101210201000210220212220
41221100010023211220
53322422140014031
6123530040234040
711110360513563
oct1512004134550
9353630726786
10113012423016
1143a23626109
1219a9b76b920
13a870640b2c
1456813014da
152e167e2596
hex1a5010b968

113012423016 has 128 divisors (see below), whose sum is σ = 307991376000. Its totient is φ = 34419990528.

The previous prime is 113012423011. The next prime is 113012423059. The reversal of 113012423016 is 610324210311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113012423011) 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, 13656256 + ... + 13664528.

It is an arithmetic number, because the mean of its divisors is an integer number (2406182625).

Almost surely, 2113012423016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113012423016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153995688000).

113012423016 is an abundant number, since it is smaller than the sum of its proper divisors (194978952984).

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

113012423016 is a wasteful number, since it uses less digits than its factorization.

113012423016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113012423016 its reverse (610324210311), we get a palindrome (723336633327).

The spelling of 113012423016 in words is "one hundred thirteen billion, twelve million, four hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1033 1102 1653 2066 2204 3099 3306 4132 4408 6198 6612 8264 8273 12396 13224 16546 19627 24792 24819 29957 33092 39254 49638 58881 59914 66184 78508 89871 99276 117762 119828 157016 157187 179742 198552 235524 239656 239917 314374 359484 471048 471561 479834 569183 628748 718968 719751 943122 959668 1138366 1257496 1439502 1707549 1886244 1919336 2276732 2879004 3415098 3772488 4553464 4558423 5758008 6830196 8546009 9116846 13660392 13675269 17092018 18233692 25638027 27350538 34184036 36467384 51276054 54701076 68368072 102552108 109402152 162374171 205104216 247834261 324748342 487122513 495668522 649496684 743502783 974245026 991337044 1298993368 1487005566 1948490052 1982674088 2974011132 3896980104 4708850959 5948022264 9417701918 14126552877 18835403836 28253105754 37670807672 56506211508 113012423016