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132314240013 = 31723923414637
BaseRepresentation
bin111101100111010001…
…0110001010000001101
3110122112012120211002220
41323032202301100031
54131434421140023
6140441225205553
712362604324534
oct1731642612015
9418465524086
10132314240013
1151128a3698a
12217879308b9
13c628494417
1465929a331b
1536960e93e3
hex1ece8b140d

132314240013 has 32 divisors (see below), whose sum is σ = 187698746880. Its totient is φ = 82620195840.

The previous prime is 132314239997. The next prime is 132314240027. The reversal of 132314240013 is 310042413231.

It is a happy number.

It is not a de Polignac number, because 132314240013 - 24 = 132314239997 is a prime.

It is a super-2 number, since 2×1323142400132 (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 (132314240213) 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, 28532131 + ... + 28536767.

It is an arithmetic number, because the mean of its divisors is an integer number (5865585840).

Almost surely, 2132314240013 is an apocalyptic number.

It is an amenable number.

132314240013 is a deficient number, since it is larger than the sum of its proper divisors (55384506867).

132314240013 is a wasteful number, since it uses less digits than its factorization.

132314240013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7237.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132314240013 its reverse (310042413231), we get a palindrome (442356653244).

The spelling of 132314240013 in words is "one hundred thirty-two billion, three hundred fourteen million, two hundred forty thousand, thirteen".

Divisors: 1 3 17 51 239 717 2341 4063 4637 7023 12189 13911 39797 78829 119391 236487 559499 1108243 1678497 3324729 9511483 10855217 18840131 28534449 32565651 56520393 184538689 553616067 2594396863 7783190589 44104746671 132314240013