Search a number
-
+
132615516231 = 32112137626837
BaseRepresentation
bin111101110000010000…
…0000011000001000111
3110200022012111020101100
41323200200003001013
54133044033004411
6140531150431143
712403223201052
oct1734040030107
9420265436340
10132615516231
11512730021a0
12218508024b3
13c675a1b083
1465c09c9a99
1536b27ab456
hex1ee0803047

132615516231 has 24 divisors (see below), whose sum is σ = 209068024464. Its totient is φ = 80335301760.

The previous prime is 132615516227. The next prime is 132615516233.

132615516231 is a `hidden beast` number, since 1 + 3 + 2 + 615 + 5 + 1 + 6 + 2 + 31 = 666.

132615516231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132615516231 - 22 = 132615516227 is a prime.

It is a super-2 number, since 2×1326155162312 (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 (132615516233) 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, 101856 + ... + 524981.

It is an arithmetic number, because the mean of its divisors is an integer number (8711167686).

Almost surely, 2132615516231 is an apocalyptic number.

132615516231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132615516231 is a deficient number, since it is larger than the sum of its proper divisors (76452508233).

132615516231 is a wasteful number, since it uses less digits than its factorization.

132615516231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628991 (or 628988 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 132615 and 516231, that added together give a palindrome (648846).

The spelling of 132615516231 in words is "one hundred thirty-two billion, six hundred fifteen million, five hundred sixteen thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 2137 6411 19233 23507 70521 211563 626837 1880511 5641533 6895207 20685621 62056863 1339550669 4018652007 12055956021 14735057359 44205172077 132615516231