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23405461131617 is a prime number
BaseRepresentation
bin1010101001001100000100…
…01100100101000101100001
310001212112120211101101022122
411110212002030211011201
511031433341022202432
6121440153112514025
74633663101025355
oct524460214450541
9101775524341278
1023405461131617
1175042226a2124
1227601756ab915
13100a1829a71a6
145acb8a733465
152a8c6a666612
hex154982325161

23405461131617 has 2 divisors, whose sum is σ = 23405461131618. Its totient is φ = 23405461131616.

The previous prime is 23405461131587. The next prime is 23405461131659. The reversal of 23405461131617 is 71613116450432.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15594727368256 + 7810733763361 = 3949016^2 + 2794769^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23405461131617 is a prime.

It is a super-2 number, since 2×234054611316172 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23405461131677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11702730565808 + 11702730565809.

It is an arithmetic number, because the mean of its divisors is an integer number (11702730565809).

Almost surely, 223405461131617 is an apocalyptic number.

It is an amenable number.

23405461131617 is a deficient number, since it is larger than the sum of its proper divisors (1).

23405461131617 is an equidigital number, since it uses as much as digits as its factorization.

23405461131617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 23405461131617 in words is "twenty-three trillion, four hundred five billion, four hundred sixty-one million, one hundred thirty-one thousand, six hundred seventeen".