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23030794081 = 1727921132
BaseRepresentation
bin10101011100101111…
…100000011101100001
32012110001111120010101
4111130233200131201
5334131340402311
614325153502401
71443503343151
oct253457403541
965401446111
1023030794081
119849312519
124568b71a01
132230581709
141186a26761
158ebd93ec1
hex55cbe0761

23030794081 has 27 divisors (see below), whose sum is σ = 25000067001. Its totient is φ = 21212265984.

The previous prime is 23030794069. The next prime is 23030794091. The reversal of 23030794081 is 18049703032.

The square root of 23030794081 is 151759.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2809954081 + 20220840000 = 53009^2 + 142200^2 .

It is not a de Polignac number, because 23030794081 - 25 = 23030794049 is a prime.

It is a super-2 number, since 2×230307940812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23030794081.

It is not an unprimeable number, because it can be changed into a prime (23030794091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203812281 + ... + 203812393.

Almost surely, 223030794081 is an apocalyptic number.

23030794081 is the 151759-th square number.

23030794081 is the 75880-th centered octagonal number.

It is an amenable number.

23030794081 is a deficient number, since it is larger than the sum of its proper divisors (1969272920).

23030794081 is an frugal number, since it uses more digits than its factorization.

23030794081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 23030794081 in words is "twenty-three billion, thirty million, seven hundred ninety-four thousand, eighty-one".

Divisors: 1 17 79 113 289 1343 1921 6241 8927 12769 22831 32657 106097 151759 217073 705233 1008751 1803649 2579903 3690241 11988961 17148767 79691329 203812337 291529039 1354752593 23030794081