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123838137 = 3231343961
BaseRepresentation
bin1110110000110…
…01111010111001
322122000121222200
413120121322321
5223200310022
620142140413
73032415063
oct730317271
9278017880
10123838137
11639a3475
1235581709
131c86bc07
1412638733
15ad12bac
hex7619eb9

123838137 has 12 divisors (see below), whose sum is σ = 179452884. Its totient is φ = 82293120.

The previous prime is 123838133. The next prime is 123838139. The reversal of 123838137 is 731838321.

It can be written as a sum of positive squares in 2 ways, for example, as 41100921 + 82737216 = 6411^2 + 9096^2 .

It is not a de Polignac number, because 123838137 - 22 = 123838133 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (123838133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19164 + ... + 24797.

It is an arithmetic number, because the mean of its divisors is an integer number (14954407).

Almost surely, 2123838137 is an apocalyptic number.

It is an amenable number.

123838137 is a deficient number, since it is larger than the sum of its proper divisors (55614747).

123838137 is a wasteful number, since it uses less digits than its factorization.

123838137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44280 (or 44277 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 123838137 is about 11128.2584890898. The cubic root of 123838137 is about 498.4460246581.

The spelling of 123838137 in words is "one hundred twenty-three million, eight hundred thirty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 9 313 939 2817 43961 131883 395649 13759793 41279379 123838137