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138211073 = 7111331943
BaseRepresentation
bin10000011110011…
…10111100000001
3100122001211221122
420033032330001
5240340223243
621414202025
73265526510
oct1017167401
9318054848
10138211073
1171020030
123a353315
1322832000
14144da677
15c201668
hex83cef01

138211073 has 64 divisors (see below), whose sum is σ = 201062400. Its totient is φ = 91990080.

The previous prime is 138211069. The next prime is 138211081. The reversal of 138211073 is 370112831.

It is not a de Polignac number, because 138211073 - 22 = 138211069 is a prime.

It is a super-2 number, since 2×1382110732 = 38204601399622658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138211033) 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 63 ways as a sum of consecutive naturals, for example, 3214190 + ... + 3214232.

It is an arithmetic number, because the mean of its divisors is an integer number (3141600).

Almost surely, 2138211073 is an apocalyptic number.

138211073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138211073 is a deficient number, since it is larger than the sum of its proper divisors (62851327).

138211073 is a wasteful number, since it uses less digits than its factorization.

138211073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 138211073 is about 11756.3205553438. The cubic root of 138211073 is about 517.0282575060.

The spelling of 138211073 in words is "one hundred thirty-eight million, two hundred eleven thousand, seventy-three".

Divisors: 1 7 11 13 19 43 77 91 133 143 169 209 247 301 473 559 817 1001 1183 1463 1729 1859 2197 2717 3211 3311 3913 5719 6149 7267 8987 10621 13013 15379 19019 22477 24167 35321 41743 43043 50869 62909 74347 79937 94471 116831 138073 169169 247247 292201 459173 559559 661297 817817 966511 1039181 1518803 1794949 3214211 7274267 10631621 12564643 19744439 138211073