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112310491872 = 2532324351431
BaseRepresentation
bin110100010011000111…
…0100001101011100000
3101201220010000010101010
41220212032201223200
53320002441214442
6123332243340520
711054105300235
oct1504616415340
9351803003333
10112310491872
11436a3387927
1219924681740
13a78b0a6767
145615dc378c
152dc4d8cb9c
hex1a263a1ae0

112310491872 has 144 divisors (see below), whose sum is σ = 315363742848. Its totient is φ = 34975691520.

The previous prime is 112310491837. The next prime is 112310491873. The reversal of 112310491872 is 278194013211.

It is a super-2 number, since 2×1123104918722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112310491872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112310491873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157997 + ... + 2209427.

It is an arithmetic number, because the mean of its divisors is an integer number (2190025992).

Almost surely, 2112310491872 is an apocalyptic number.

112310491872 is a gapful number since it is divisible by the number (12) 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 112310491872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157681871424).

112310491872 is an abundant number, since it is smaller than the sum of its proper divisors (203053250976).

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

112310491872 is a wasteful number, since it uses less digits than its factorization.

112310491872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51533 (or 51502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 112310491872 in words is "one hundred twelve billion, three hundred ten million, four hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 69 86 92 96 129 138 172 184 258 276 344 368 516 529 552 688 736 989 1032 1058 1104 1376 1587 1978 2064 2116 2208 2967 3174 3956 4128 4232 5934 6348 7912 8464 11868 12696 15824 16928 22747 23736 25392 31648 45494 47472 50784 51431 68241 90988 94944 102862 136482 154293 181976 205724 272964 308586 363952 411448 545928 617172 727904 822896 1091856 1182913 1234344 1645792 2183712 2211533 2365826 2468688 3548739 4423066 4731652 4937376 6634599 7097478 8846132 9463304 13269198 14194956 17692264 18926608 26538396 27206999 28389912 35384528 37853216 50865259 53076792 54413998 56779824 70769056 81620997 101730518 106153584 108827996 113559648 152595777 163241994 203461036 212307168 217655992 305191554 326483988 406922072 435311984 610383108 652967976 813844144 870623968 1169900957 1220766216 1305935952 1627688288 2339801914 2441532432 2611871904 3509702871 4679603828 4883064864 7019405742 9359207656 14038811484 18718415312 28077622968 37436830624 56155245936 112310491872