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23121012996 = 22321737779433
BaseRepresentation
bin10101100010000111…
…101010100100000100
32012200100021011012200
4111202013222210010
5334322434403441
614342135314500
71445650240104
oct254207524404
965610234180
1023121012996
119895233304
12459321ba30
13224617c1a3
1411949cd204
15904c657b6
hex5621ea904

23121012996 has 36 divisors (see below), whose sum is σ = 61882712892. Its totient is φ = 7253650944.

The previous prime is 23121012977. The next prime is 23121013001. The reversal of 23121012996 is 69921012132.

23121012996 is a `hidden beast` number, since 231 + 210 + 129 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19283210496 + 3837802500 = 138864^2 + 61950^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×231210129963 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23121012996.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18889105 + ... + 18890328.

It is an arithmetic number, because the mean of its divisors is an integer number (1718964247).

Almost surely, 223121012996 is an apocalyptic number.

It is an amenable number.

23121012996 is an abundant number, since it is smaller than the sum of its proper divisors (38761699896).

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

23121012996 is a wasteful number, since it uses less digits than its factorization.

23121012996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37779460 (or 37779455 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 23121012996 in words is "twenty-three billion, one hundred twenty-one million, twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 37779433 75558866 113338299 151117732 226676598 340014897 453353196 642250361 680029794 1284500722 1360059588 1926751083 2569001444 3853502166 5780253249 7707004332 11560506498 23121012996