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10127635169 is a prime number
BaseRepresentation
bin10010110111010011…
…10111001011100001
3222010210221011122212
421123221313023201
5131220133311134
64352542211505
7505654323101
oct113351671341
928123834585
1010127635169
114327871223
121b67883b95
13c55288742
146c10a9201
153e41c0bce
hex25ba772e1

10127635169 has 2 divisors, whose sum is σ = 10127635170. Its totient is φ = 10127635168.

The previous prime is 10127635163. The next prime is 10127635207. The reversal of 10127635169 is 96153672101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8674500769 + 1453134400 = 93137^2 + 38120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10127635169 - 232 = 5832667873 is a prime.

It is a super-2 number, since 2×101276351692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10127635163) 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, 5063817584 + 5063817585.

It is an arithmetic number, because the mean of its divisors is an integer number (5063817585).

Almost surely, 210127635169 is an apocalyptic number.

It is an amenable number.

10127635169 is a deficient number, since it is larger than the sum of its proper divisors (1).

10127635169 is an equidigital number, since it uses as much as digits as its factorization.

10127635169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 41.

The spelling of 10127635169 in words is "ten billion, one hundred twenty-seven million, six hundred thirty-five thousand, one hundred sixty-nine".