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131211122111177 is a prime number
BaseRepresentation
bin11101110101010111111000…
…010100101111001011001001
3122012120122211200221012000212
4131311113320110233023021
5114144230334230024202
61143021320220010505
736431455631613563
oct3565277024571311
9565518750835025
10131211122111177
1138898362846039
1212871717390a35
13582a204180364
14245891b8a2333
1510281808e4652
hex7755f852f2c9

131211122111177 has 2 divisors, whose sum is σ = 131211122111178. Its totient is φ = 131211122111176.

The previous prime is 131211122111149. The next prime is 131211122111213. The reversal of 131211122111177 is 771111221112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75188651557321 + 56022470553856 = 8671139^2 + 7484816^2 .

It is a cyclic number.

It is not a de Polignac number, because 131211122111177 - 244 = 113618936066761 is a prime.

It is not a weakly prime, because it can be changed into another prime (131211122111077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65605561055588 + 65605561055589.

It is an arithmetic number, because the mean of its divisors is an integer number (65605561055589).

Almost surely, 2131211122111177 is an apocalyptic number.

It is an amenable number.

131211122111177 is a deficient number, since it is larger than the sum of its proper divisors (1).

131211122111177 is an equidigital number, since it uses as much as digits as its factorization.

131211122111177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 32.

The spelling of 131211122111177 in words is "one hundred thirty-one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred seventy-seven".