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114180265681 is a prime number
BaseRepresentation
bin110101001010110101…
…1001001011011010001
3101220201102022110211221
41222111223021123101
53332320122000211
6124241555205041
711151331146646
oct1522553113321
9356642273757
10114180265681
1144472868639
121a1668a6781
13a9c85863b1
14575245ddcd
152e840c9c71
hex1a95ac96d1

114180265681 has 2 divisors, whose sum is σ = 114180265682. Its totient is φ = 114180265680.

The previous prime is 114180265663. The next prime is 114180265733. The reversal of 114180265681 is 186562081411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86577766081 + 27602499600 = 294241^2 + 166140^2 .

It is a cyclic number.

It is not a de Polignac number, because 114180265681 - 29 = 114180265169 is a prime.

It is a super-2 number, since 2×1141802656812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114180265651) 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 as a sum of consecutive naturals, namely, 57090132840 + 57090132841.

It is an arithmetic number, because the mean of its divisors is an integer number (57090132841).

Almost surely, 2114180265681 is an apocalyptic number.

It is an amenable number.

114180265681 is a deficient number, since it is larger than the sum of its proper divisors (1).

114180265681 is an equidigital number, since it uses as much as digits as its factorization.

114180265681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 114180265681 in words is "one hundred fourteen billion, one hundred eighty million, two hundred sixty-five thousand, six hundred eighty-one".