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23262105401 = 236717387257
BaseRepresentation
bin10101101010100001…
…111000111100111001
32020001011202101121022
4111222201320330321
5340120044333101
614404135352225
71452312430163
oct255241707471
966034671538
1023262105401
1199579410a7
124612522675
13226947c812
1411a9639933
15912335a1b
hex56a878f39

23262105401 has 16 divisors (see below), whose sum is σ = 24778479744. Its totient is φ = 21791662464.

The previous prime is 23262105379. The next prime is 23262105413. The reversal of 23262105401 is 10450126232.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23262105401 is a prime.

It is a super-3 number, since 3×232621054013 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23262105421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 222965 + ... + 310221.

It is an arithmetic number, because the mean of its divisors is an integer number (1548654984).

Almost surely, 223262105401 is an apocalyptic number.

It is an amenable number.

23262105401 is a deficient number, since it is larger than the sum of its proper divisors (1516374343).

23262105401 is a wasteful number, since it uses less digits than its factorization.

23262105401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87520.

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 23262105401 in words is "twenty-three billion, two hundred sixty-two million, one hundred five thousand, four hundred one".

Divisors: 1 23 67 173 1541 3979 11591 87257 266593 2006911 5846219 15095461 134463037 347195603 1011395887 23262105401