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133123100032177 is a prime number
BaseRepresentation
bin11110010001001100100011…
…000101101011110010110001
3122110100102222201201010101221
4132101030203011223302301
5114422042102102012202
61151043524034225041
740016553343031623
oct3621144305536261
9573312881633357
10133123100032177
113946520a502092
1212b20194a25181
1359385ba608cc8
1424c329a002c13
15105cc85ee6037
hex79132316bcb1

133123100032177 has 2 divisors, whose sum is σ = 133123100032178. Its totient is φ = 133123100032176.

The previous prime is 133123100032099. The next prime is 133123100032207. The reversal of 133123100032177 is 771230001321331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129612783027121 + 3510317005056 = 11384761^2 + 1873584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133123100032177 is a prime.

It is not a weakly prime, because it can be changed into another prime (133123100032277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561550016088 + 66561550016089.

It is an arithmetic number, because the mean of its divisors is an integer number (66561550016089).

Almost surely, 2133123100032177 is an apocalyptic number.

It is an amenable number.

133123100032177 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123100032177 is an equidigital number, since it uses as much as digits as its factorization.

133123100032177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 34.

The spelling of 133123100032177 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, one hundred million, thirty-two thousand, one hundred seventy-seven".