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112016015424 = 2633487133109
BaseRepresentation
bin110100001010010101…
…1001100000001000000
3101201010120220011122000
41220110223030001000
53313402044443144
6123243123544000
711043601264305
oct1502453140100
9351116804560
10112016015424
1143562136365
1219861b2b000
13a742090b41
1455c8c4b0ac
152da90c0769
hex1a14acc040

112016015424 has 112 divisors (see below), whose sum is σ = 329985014400. Its totient is φ = 37261721088.

The previous prime is 112016015411. The next prime is 112016015437. The reversal of 112016015424 is 424510610211.

112016015424 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 601 + 54 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (112016015411) and next prime (112016015437).

It is a super-2 number, since 2×1120160154242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774982 + ... + 908090.

Almost surely, 2112016015424 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 112016015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164992507200).

112016015424 is an abundant number, since it is smaller than the sum of its proper divisors (217968998976).

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

112016015424 is a wasteful number, since it uses less digits than its factorization.

112016015424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133617 (or 133601 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 112016015424 its reverse (424510610211), we get a palindrome (536526625635).

The spelling of 112016015424 in words is "one hundred twelve billion, sixteen million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 487 576 864 974 1461 1728 1948 2922 3896 4383 5844 7792 8766 11688 13149 15584 17532 23376 26298 31168 35064 46752 52596 70128 93504 105192 133109 140256 210384 266218 280512 399327 420768 532436 798654 841536 1064872 1197981 1597308 2129744 2395962 3194616 3593943 4259488 4791924 6389232 7187886 8518976 9583848 12778464 14375772 19167696 25556928 28751544 38335392 57503088 64824083 76670784 115006176 129648166 194472249 230012352 259296332 388944498 518592664 583416747 777888996 1037185328 1166833494 1555777992 1750250241 2074370656 2333666988 3111555984 3500500482 4148741312 4667333976 6223111968 7001000964 9334667952 12446223936 14002001928 18669335904 28004003856 37338671808 56008007712 112016015424