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132306603231 = 311197157912889
BaseRepresentation
bin111101100111000010…
…1101000110011011111
3110122111200012211102010
41323032011220303133
54131430442300411
6140440353402303
712362452400055
oct1731605506337
9418450184363
10132306603231
11511246a02a0
1221785269393
13c626a1c40a
1465919761d5
1536955db7a6
hex1ece168cdf

132306603231 has 32 divisors (see below), whose sum is σ = 193560364800. Its totient is φ = 79722074880.

The previous prime is 132306603229. The next prime is 132306603271.

132306603231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132306603231 - 21 = 132306603229 is a prime.

It is a super-2 number, since 2×1323066032312 (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 (132306603271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10258635 + ... + 10271523.

It is an arithmetic number, because the mean of its divisors is an integer number (6048761400).

Almost surely, 2132306603231 is an apocalyptic number.

132306603231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132306603231 is a deficient number, since it is larger than the sum of its proper divisors (61253761569).

132306603231 is a wasteful number, since it uses less digits than its factorization.

132306603231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14679.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 132306 and 603231, that added together give a palindrome (735537).

The spelling of 132306603231 in words is "one hundred thirty-two billion, three hundred six million, six hundred three thousand, two hundred thirty-one".

Divisors: 1 3 11 33 197 591 1579 2167 4737 6501 12889 17369 38667 52107 141779 311063 425337 933189 2539133 3421693 7617399 10265079 20351731 27930463 61055193 83791389 223869041 671607123 4009291007 12027873021 44102201077 132306603231