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138513339 = 3273210827
BaseRepresentation
bin10000100000110…
…00101110111011
3100122122012120200
420100120232323
5240424411324
621424453243
73301225656
oct1020305673
9318565520
10138513339
1171207138
123a47a223
1322909773
141457889d
15c260ec9
hex8418bbb

138513339 has 12 divisors (see below), whose sum is σ = 202816536. Its totient is φ = 91076832.

The previous prime is 138513313. The next prime is 138513341. The reversal of 138513339 is 933315831.

It is a happy number.

138513339 is a `hidden beast` number, since 138 + 513 + 3 + 3 + 9 = 666.

It is not a de Polignac number, because 138513339 - 29 = 138512827 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 a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (138513379) 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 11 ways as a sum of consecutive naturals, for example, 104757 + ... + 106070.

It is an arithmetic number, because the mean of its divisors is an integer number (16901378).

Almost surely, 2138513339 is an apocalyptic number.

138513339 is a deficient number, since it is larger than the sum of its proper divisors (64303197).

138513339 is a wasteful number, since it uses less digits than its factorization.

138513339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210906 (or 210903 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 138513339 is about 11769.1690021004. The cubic root of 138513339 is about 517.4048946561.

The spelling of 138513339 in words is "one hundred thirty-eight million, five hundred thirteen thousand, three hundred thirty-nine".

Divisors: 1 3 9 73 219 657 210827 632481 1897443 15390371 46171113 138513339