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23102382960 = 24325314324071
BaseRepresentation
bin10101100001000000…
…100110001101110000
32012122001012122121100
4111201000212031300
5334303202223320
614340232124400
71445333005116
oct254100461560
965561178540
1023102382960
119885769288
124588b36700
1322423584b7
14119233dab6
159032d5790
hex561026370

23102382960 has 240 divisors, whose sum is σ = 81954183168. Its totient is φ = 5823014400.

The previous prime is 23102382937. The next prime is 23102382983. The reversal of 23102382960 is 6928320132.

It is an interprime number because it is at equal distance from previous prime (23102382937) and next prime (23102382983).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947725 + ... + 971795.

Almost surely, 223102382960 is an apocalyptic number.

23102382960 is a gapful number since it is divisible by the number (20) 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 23102382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40977091584).

23102382960 is an abundant number, since it is smaller than the sum of its proper divisors (58851800208).

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

23102382960 is a wasteful number, since it uses less digits than its factorization.

23102382960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24164 (or 24155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23102382960 in words is "twenty-three billion, one hundred two million, three hundred eighty-two thousand, nine hundred sixty".