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138106311 = 3737177743
BaseRepresentation
bin10000011101101…
…01010111000111
3100121212112020120
420032311113013
5240323400221
621412033023
73264612210
oct1016652707
9317775216
10138106311
1170a59352
123a302773
13227c6415
14144b0407
15c1d05c6
hex83b55c7

138106311 has 16 divisors (see below), whose sum is σ = 216136704. Its totient is φ = 76784544.

The previous prime is 138106253. The next prime is 138106313. The reversal of 138106311 is 113601831.

It is not a de Polignac number, because 138106311 - 27 = 138106183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138106313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88095 + ... + 89648.

It is an arithmetic number, because the mean of its divisors is an integer number (13508544).

Almost surely, 2138106311 is an apocalyptic number.

138106311 is a deficient number, since it is larger than the sum of its proper divisors (78030393).

138106311 is a wasteful number, since it uses less digits than its factorization.

138106311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177790.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 138106311 is about 11751.8641499977. The cubic root of 138106311 is about 516.8975911652.

The spelling of 138106311 in words is "one hundred thirty-eight million, one hundred six thousand, three hundred eleven".

Divisors: 1 3 7 21 37 111 259 777 177743 533229 1244201 3732603 6576491 19729473 46035437 138106311