Search a number
-
+
138063360831 = 31123112269027
BaseRepresentation
bin1000000010010100110…
…1111011001100111111
3111012100212120102020120
42000211031323030333
54230223210021311
6143231520550023
712655224126654
oct2004515731477
9435325512216
10138063360831
1153609193500
1222911182313
13100335a0566
14697a347c2b
1538d0bc7706
hex202537b33f

138063360831 has 24 divisors (see below), whose sum is σ = 208867932672. Its totient is φ = 80975571600.

The previous prime is 138063360797. The next prime is 138063360833.

138063360831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138063360831 - 225 = 138029806399 is a prime.

It is a super-2 number, since 2×1380633608312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138063360833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6123261 + ... + 6145766.

It is an arithmetic number, because the mean of its divisors is an integer number (8702830528).

Almost surely, 2138063360831 is an apocalyptic number.

138063360831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138063360831 is a deficient number, since it is larger than the sum of its proper divisors (70804571841).

138063360831 is a wasteful number, since it uses less digits than its factorization.

138063360831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269083 (or 12269072 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

It can be divided in two parts, 138063 and 360831, that added together give a palindrome (498894).

The spelling of 138063360831 in words is "one hundred thirty-eight billion, sixty-three million, three hundred sixty thousand, eight hundred thirty-one".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 12269027 36807081 134959297 380339837 404877891 1141019511 1484552267 4183738207 4453656801 12551214621 46021120277 138063360831