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10167429109 is a prime number
BaseRepresentation
bin10010111100000011…
…01010011111110101
3222020120210220200111
421132001222133311
5131310330212414
64400523143021
7506646502315
oct113601523765
928216726614
1010167429109
114348280a82
121b79074a71
13c605ac556
146c64a7445
153e79318c4
hex25e06a7f5

10167429109 has 2 divisors, whose sum is σ = 10167429110. Its totient is φ = 10167429108.

The previous prime is 10167429089. The next prime is 10167429121. The reversal of 10167429109 is 90192476101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9116048484 + 1051380625 = 95478^2 + 32425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10167429109 - 27 = 10167428981 is a prime.

It is a super-2 number, since 2×101674291092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10167429709) 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, 5083714554 + 5083714555.

It is an arithmetic number, because the mean of its divisors is an integer number (5083714555).

Almost surely, 210167429109 is an apocalyptic number.

It is an amenable number.

10167429109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10167429109 is an equidigital number, since it uses as much as digits as its factorization.

10167429109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 10167429109 in words is "ten billion, one hundred sixty-seven million, four hundred twenty-nine thousand, one hundred nine".