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157157201 is a prime number
BaseRepresentation
bin10010101111000…
…00011101010001
3101221201102011002
421113200131101
5310213012301
623332231345
73615546155
oct1127403521
9357642132
10157157201
1180790593
124476b555
1326736836
1416c2d065
15dbe516b
hex95e0751

157157201 has 2 divisors, whose sum is σ = 157157202. Its totient is φ = 157157200.

The previous prime is 157157191. The next prime is 157157207. The reversal of 157157201 is 102751751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157126225 + 30976 = 12535^2 + 176^2 .

It is an emirp because it is prime and its reverse (102751751) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157157201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (157157207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78578600 + 78578601.

It is an arithmetic number, because the mean of its divisors is an integer number (78578601).

Almost surely, 2157157201 is an apocalyptic number.

It is an amenable number.

157157201 is a deficient number, since it is larger than the sum of its proper divisors (1).

157157201 is an equidigital number, since it uses as much as digits as its factorization.

157157201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2450, while the sum is 29.

The square root of 157157201 is about 12536.2355194851. The cubic root of 157157201 is about 539.6490643928.

The spelling of 157157201 in words is "one hundred fifty-seven million, one hundred fifty-seven thousand, two hundred one".