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114312111319969 is a prime number
BaseRepresentation
bin11001111111011101011100…
…110010011110101110100001
3112222202010112120202022102121
4121333131130302132232201
5104440342200444214334
61043042131534344241
733035530453132153
oct3177353462365641
9488663476668377
10114312111319969
1133472548803002
12109a255295b081
134ba27801383c4
142032a42adaad3
15d337c128adb4
hex67f75cc9eba1

114312111319969 has 2 divisors, whose sum is σ = 114312111319970. Its totient is φ = 114312111319968.

The previous prime is 114312111319927. The next prime is 114312111320053. The reversal of 114312111319969 is 969913111213411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113407590490000 + 904520829969 = 10649300^2 + 951063^2 .

It is an emirp because it is prime and its reverse (969913111213411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114312111319969 is a prime.

It is a super-2 number, since 2×1143121113199692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114312111319909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57156055659984 + 57156055659985.

It is an arithmetic number, because the mean of its divisors is an integer number (57156055659985).

Almost surely, 2114312111319969 is an apocalyptic number.

It is an amenable number.

114312111319969 is a deficient number, since it is larger than the sum of its proper divisors (1).

114312111319969 is an equidigital number, since it uses as much as digits as its factorization.

114312111319969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 314928, while the sum is 52.

The spelling of 114312111319969 in words is "one hundred fourteen trillion, three hundred twelve billion, one hundred eleven million, three hundred nineteen thousand, nine hundred sixty-nine".