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138122569 = 13171514139
BaseRepresentation
bin10000011101110…
…01010101001001
3100121220100112201
420032321111021
5240324410234
621412240201
73265010464
oct1016712511
9317810481
10138122569
1170a6a592
123a310061
1322800940
14144b62db
15c1d5314
hex83b9549

138122569 has 16 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 119174400.

The previous prime is 138122561. The next prime is 138122587. The reversal of 138122569 is 965221831.

It is a cyclic number.

It is not a de Polignac number, because 138122569 - 23 = 138122561 is a prime.

It is a super-2 number, since 2×1381225692 = 38155688134319522, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (25920) is a multiple of the sum of its prime divisors (4320).

It is not an unprimeable number, because it can be changed into a prime (138122561) 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 in 15 ways as a sum of consecutive naturals, for example, 31302 + ... + 35440.

It is an arithmetic number, because the mean of its divisors is an integer number (9911160).

Almost surely, 2138122569 is an apocalyptic number.

It is an amenable number.

138122569 is a deficient number, since it is larger than the sum of its proper divisors (20455991).

138122569 is a wasteful number, since it uses less digits than its factorization.

138122569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320.

The product of its digits is 25920, while the sum is 37.

The square root of 138122569 is about 11752.5558496865. Note that the first 3 decimals coincide. The cubic root of 138122569 is about 516.9178735868.

The spelling of 138122569 in words is "one hundred thirty-eight million, one hundred twenty-two thousand, five hundred sixty-nine".

Divisors: 1 13 17 151 221 1963 2567 4139 33371 53807 70363 624989 914719 8124857 10624813 138122569