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23101264081 = 72217132
BaseRepresentation
bin10101100000111100…
…010101000011010001
32012121222002210210101
4111200330111003101
5334302410422311
614340152132401
71445320335100
oct254074250321
965558083711
1023101264081
119885074695
124588697101
13224205613c
14119212c037
15903163ec1
hex560f150d1

23101264081 has 9 divisors (see below), whose sum is σ = 26874136731. Its totient is φ = 19800171552.

The previous prime is 23101264049. The next prime is 23101264097. The reversal of 23101264081 is 18046210132.

The square root of 23101264081 is 151991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5988438225 + 17112825856 = 77385^2 + 130816^2 .

It is not a de Polignac number, because 23101264081 - 25 = 23101264049 is a prime.

It is a super-2 number, since 2×231012640812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23101264001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1053081 + ... + 1074793.

Almost surely, 223101264081 is an apocalyptic number.

23101264081 is the 151991-st square number.

23101264081 is the 75996-th centered octagonal number.

It is an amenable number.

23101264081 is a deficient number, since it is larger than the sum of its proper divisors (3772872650).

23101264081 is an frugal number, since it uses more digits than its factorization.

23101264081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43440 (or 21720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 23101264081 by its product of nonzero digits (2304), we get a square (53225312442624 = 72955682).

The spelling of 23101264081 in words is "twenty-three billion, one hundred one million, two hundred sixty-four thousand, eighty-one".

Divisors: 1 7 49 21713 151991 1063937 471454369 3300180583 23101264081