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138117315 = 3574132083
BaseRepresentation
bin10000011101110…
…00000011000011
3100121220002100010
420032320003003
5240324223230
621412200003
73264656250
oct1016700303
9317802303
10138117315
1170a66646
123a309003
13227cb42b
14144b4427
15c1d39b0
hex83b80c3

138117315 has 32 divisors (see below), whose sum is σ = 258725376. Its totient is φ = 61597440.

The previous prime is 138117313. The next prime is 138117319. The reversal of 138117315 is 513711831.

It is not a de Polignac number, because 138117315 - 21 = 138117313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138117313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11737 + ... + 20346.

It is an arithmetic number, because the mean of its divisors is an integer number (8085168).

Almost surely, 2138117315 is an apocalyptic number.

138117315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138117315 is a deficient number, since it is larger than the sum of its proper divisors (120608061).

138117315 is a wasteful number, since it uses less digits than its factorization.

138117315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32139.

The product of its digits is 2520, while the sum is 30.

The square root of 138117315 is about 11752.3323217138. The cubic root of 138117315 is about 516.9113192128.

The spelling of 138117315 in words is "one hundred thirty-eight million, one hundred seventeen thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 21 35 41 105 123 205 287 615 861 1435 4305 32083 96249 160415 224581 481245 673743 1122905 1315403 3368715 3946209 6577015 9207821 19731045 27623463 46039105 138117315