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23403113900100 = 2238521141139569
BaseRepresentation
bin1010101001000111101100…
…10010100110100001000100
310001212022112020122200000000
411110203312102212201010
511031414034124300400
6121435124143321300
74633550656626654
oct524436622464104
9101768466580000
1023403113900100
117503228751370
12275b81b5b0230
131009b9a605abc
145aca06acc364
152a8b7e565600
hex1548f64a6844

23403113900100 has 1296 divisors, whose sum is σ = 85887980942400. Its totient is φ = 5485625856000.

The previous prime is 23403113900087. The next prime is 23403113900113. The reversal of 23403113900100 is 100931130432.

23403113900100 is a `hidden beast` number, since 2 + 340 + 311 + 3 + 9 + 0 + 0 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23403113900087) and next prime (23403113900113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 41130252616 + ... + 41130253184.

Almost surely, 223403113900100 is an apocalyptic number.

23403113900100 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 23403113900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42943990471200).

23403113900100 is an abundant number, since it is smaller than the sum of its proper divisors (62484867042300).

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

23403113900100 is a wasteful number, since it uses less digits than its factorization.

23403113900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 23403113900100 in words is "twenty-three trillion, four hundred three billion, one hundred thirteen million, nine hundred thousand, one hundred".