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112014112032 = 2535232572437
BaseRepresentation
bin110100001010010001…
…1111011010100100000
3101201010110022110200000
41220110203323110200
53313401103041112
6123243015100000
711043546146124
oct1502443732440
9351113273600
10112014112032
1143561056309
1219861371600
13a741875684
1455c88b3584
152da8d467dc
hex1a148fb520

112014112032 has 288 divisors, whose sum is σ = 346183673472. Its totient is φ = 35561078784.

The previous prime is 112014111971. The next prime is 112014112037. The reversal of 112014112032 is 230211410211.

112014112032 is a `hidden beast` number, since 1 + 1 + 201 + 411 + 20 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1120141120322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112014111996 and 112014112014.

It is not an unprimeable number, because it can be changed into a prime (112014112037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45962718 + ... + 45965154.

It is an arithmetic number, because the mean of its divisors is an integer number (1202026644).

Almost surely, 2112014112032 is an apocalyptic number.

112014112032 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 112014112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173091836736).

112014112032 is an abundant number, since it is smaller than the sum of its proper divisors (234169561440).

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

112014112032 is a wasteful number, since it uses less digits than its factorization.

112014112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112014112032 its reverse (230211410211), we get a palindrome (342225522243).

The spelling of 112014112032 in words is "one hundred twelve billion, fourteen million, one hundred twelve thousand, thirty-two".