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112033114000032 = 253157281260910139
BaseRepresentation
bin11001011110010010111101…
…111101101000101010100000
3112200200021001100020010102210
4121132102331331220222200
5104141022304141000112
61034135145124442120
732412061001421021
oct3136227575505240
9480607040203383
10112033114000032
1132773a82179355
1210694927249340
134a688a60b8094
141d94608638c48
15ce43898cab3c
hex65e4bdf68aa0

112033114000032 has 192 divisors, whose sum is σ = 297156475324800. Its totient is φ = 36956640215040.

The previous prime is 112033114000021. The next prime is 112033114000043. The reversal of 112033114000032 is 230000411330211.

It is an interprime number because it is at equal distance from previous prime (112033114000021) and next prime (112033114000043).

It is a super-2 number, since 2×1120331140000322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112033113999972 and 112033114000008.

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, 11049715219 + ... + 11049725357.

It is an arithmetic number, because the mean of its divisors is an integer number (1547689975650).

Almost surely, 2112033114000032 is an apocalyptic number.

112033114000032 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 112033114000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148578237662400).

112033114000032 is an abundant number, since it is smaller than the sum of its proper divisors (185123361324768).

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

112033114000032 is a wasteful number, since it uses less digits than its factorization.

112033114000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13199 (or 13191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112033114000032 its reverse (230000411330211), we get a palindrome (342033525330243).

The spelling of 112033114000032 in words is "one hundred twelve trillion, thirty-three billion, one hundred fourteen million, thirty-two", and thus it is an aban number.