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157121607061 is a prime number
BaseRepresentation
bin1001001001010100101…
…1010111010110010101
3120000120002000122012001
42102111023113112111
510033241112411221
6200103005155301
714231422424026
oct2222513272625
9500502018161
10157121607061
11606a9061a21
122654b85bb31
1311a7cb22933
147867524c4d
154148e1a391
hex24952d7595

157121607061 has 2 divisors, whose sum is σ = 157121607062. Its totient is φ = 157121607060.

The previous prime is 157121607011. The next prime is 157121607067. The reversal of 157121607061 is 160706121751.

It is a happy number.

157121607061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148232700100 + 8888906961 = 385010^2 + 94281^2 .

It is a cyclic number.

It is not a de Polignac number, because 157121607061 - 27 = 157121606933 is a prime.

It is a super-3 number, since 3×1571216070613 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157121607061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157121607067) 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, 78560803530 + 78560803531.

It is an arithmetic number, because the mean of its divisors is an integer number (78560803531).

Almost surely, 2157121607061 is an apocalyptic number.

It is an amenable number.

157121607061 is a deficient number, since it is larger than the sum of its proper divisors (1).

157121607061 is an equidigital number, since it uses as much as digits as its factorization.

157121607061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 157121607061 in words is "one hundred fifty-seven billion, one hundred twenty-one million, six hundred seven thousand, sixty-one".