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138699996831 = 321117372227361
BaseRepresentation
bin1000000100101100101…
…0011111111010011111
3111021000020111212122200
42001023022133322133
54233024144344311
6143415022142543
713010054343414
oct2011312377237
9437006455580
10138699996831
1153905594560
1222a6a421a53
1310105455756
1469dab0a10b
15391ba30556
hex204b29fe9f

138699996831 has 48 divisors (see below), whose sum is σ = 237668434848. Its totient is φ = 76977561600.

The previous prime is 138699996823. The next prime is 138699996847.

138699996831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138699996831 - 23 = 138699996823 is a prime.

It is a super-2 number, since 2×1386999968312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138699996831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138699996821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051410 + ... + 1175951.

It is an arithmetic number, because the mean of its divisors is an integer number (4951425726).

Almost surely, 2138699996831 is an apocalyptic number.

138699996831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138699996831 is a deficient number, since it is larger than the sum of its proper divisors (98968438017).

138699996831 is a wasteful number, since it uses less digits than its factorization.

138699996831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227432 (or 2227429 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 72.

The spelling of 138699996831 in words is "one hundred thirty-eight billion, six hundred ninety-nine million, nine hundred ninety-six thousand, eight hundred thirty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 5661 6919 20757 62271 2227361 6682083 20046249 24500971 37865137 73502913 82412357 113595411 220508739 247237071 340786233 416516507 741711213 906535927 1249549521 1401010069 2719607781 3748648563 4203030207 8158823343 12609090621 15411110759 46233332277 138699996831