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130167814409 is a prime number
BaseRepresentation
bin111100100111010011…
…0110011100100001001
3110102222121201002201022
41321032212303210021
54113040430030114
6135444232002225
712255452111123
oct1711646634411
9412877632638
10130167814409
1150227379626
1221288b30375
13c3758a00b9
14642b8b0213
1535bc96148e
hex1e4e9b3909

130167814409 has 2 divisors, whose sum is σ = 130167814410. Its totient is φ = 130167814408.

The previous prime is 130167814391. The next prime is 130167814411. The reversal of 130167814409 is 904418761031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93611521600 + 36556292809 = 305960^2 + 191197^2 .

It is a cyclic number.

It is not a de Polignac number, because 130167814409 - 228 = 129899378953 is a prime.

Together with 130167814411, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130167814409.

It is not a weakly prime, because it can be changed into another prime (130167814489) 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, 65083907204 + 65083907205.

It is an arithmetic number, because the mean of its divisors is an integer number (65083907205).

Almost surely, 2130167814409 is an apocalyptic number.

It is an amenable number.

130167814409 is a deficient number, since it is larger than the sum of its proper divisors (1).

130167814409 is an equidigital number, since it uses as much as digits as its factorization.

130167814409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 130167814409 in words is "one hundred thirty billion, one hundred sixty-seven million, eight hundred fourteen thousand, four hundred nine".