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133112312015173 is a prime number
BaseRepresentation
bin11110010001000010100000…
…000100101010100101000101
3122110022102010220011002011121
4132101002200010222211011
5114421403003333441143
61151034541341433541
740016022116302201
oct3621024004524505
9573272126132147
10133112312015173
11394606839a1257
1212b1a083b6b8b1
13593758b5a2caa
1424c2955353b01
15105c853d7b7ed
hex7910a012a945

133112312015173 has 2 divisors, whose sum is σ = 133112312015174. Its totient is φ = 133112312015172.

The previous prime is 133112312015101. The next prime is 133112312015231. The reversal of 133112312015173 is 371510213211331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132379245561924 + 733066453249 = 11505618^2 + 856193^2 .

It is a cyclic number.

It is not a de Polignac number, because 133112312015173 - 213 = 133112312006981 is a prime.

It is a super-2 number, since 2×1331123120151732 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133112312085173) 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, 66556156007586 + 66556156007587.

It is an arithmetic number, because the mean of its divisors is an integer number (66556156007587).

Almost surely, 2133112312015173 is an apocalyptic number.

It is an amenable number.

133112312015173 is a deficient number, since it is larger than the sum of its proper divisors (1).

133112312015173 is an equidigital number, since it uses as much as digits as its factorization.

133112312015173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 133112312015173 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred twelve million, fifteen thousand, one hundred seventy-three".