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138211360231 = 779451755331
BaseRepresentation
bin1000000010111000001…
…0011111110111100111
3111012202012001120020211
42000232002133313213
54231024102011411
6143254325040251
712662002115050
oct2005602376747
9435665046224
10138211360231
115368478965a
1222952856087
131005814b979
146991c71727
1538ddbae221
hex202e09fde7

138211360231 has 16 divisors (see below), whose sum is σ = 159993584640. Its totient is φ = 116939291040.

The previous prime is 138211360069. The next prime is 138211360297. The reversal of 138211360231 is 132063112831.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 138211360231 - 211 = 138211358183 is a prime.

It is a super-2 number, since 2×1382113602312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138211360193 and 138211360202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138211360631) 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, 2470236 + ... + 2525566.

It is an arithmetic number, because the mean of its divisors is an integer number (9999599040).

Almost surely, 2138211360231 is an apocalyptic number.

138211360231 is a deficient number, since it is larger than the sum of its proper divisors (21782224409).

138211360231 is an equidigital number, since it uses as much as digits as its factorization.

138211360231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59934.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 138211360231 in words is "one hundred thirty-eight billion, two hundred eleven million, three hundred sixty thousand, two hundred thirty-one".

Divisors: 1 7 79 553 4517 31619 55331 356843 387317 2497901 4371149 30598043 249930127 1749510889 19744480033 138211360231