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12233131020192 = 253424633000929
BaseRepresentation
bin1011001000000011111101…
…1011011100111110100000
31121022110211221012222220210
42302000333123130332200
53100411423020121232
642003453420534120
72401546251001065
oct262007733347640
947273757188823
1012233131020192
1139970505a8925
121456a429b1340
136a976b970304
1430412dc98c6c
15163329ce35cc
hexb203f6dcfa0

12233131020192 has 48 divisors (see below), whose sum is σ = 32112735863040. Its totient is φ = 4077612951552.

The previous prime is 12233131020191. The next prime is 12233131020251. The reversal of 12233131020192 is 29102013133221.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12233131020191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575984 + ... + 5576912.

It is an arithmetic number, because the mean of its divisors is an integer number (669015330480).

Almost surely, 212233131020192 is an apocalyptic number.

12233131020192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12233131020192 is an abundant number, since it is smaller than the sum of its proper divisors (19879604842848).

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

12233131020192 is a wasteful number, since it uses less digits than its factorization.

12233131020192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043405 (or 3043397 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 12233131020192 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-one million, twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42463 84926 127389 169852 254778 339704 509556 679408 1019112 1358816 2038224 3000929 4076448 6001858 9002787 12003716 18005574 24007432 36011148 48014864 72022296 96029728 144044592 288089184 127428448127 254856896254 382285344381 509713792508 764570688762 1019427585016 1529141377524 2038855170032 3058282755048 4077710340064 6116565510096 12233131020192