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131532201414 = 23259499248203
BaseRepresentation
bin111101001111111101…
…1100001110111000110
3110120111201001010211100
41322133323201313012
54123334220421124
6140231451320530
712334330156605
oct1723773416706
9416451033740
10131532201414
1150867553799
12215a9a50146
13c53245caa3
14651ab91a3c
15364c61e1c9
hex1e9fee1dc6

131532201414 has 48 divisors (see below), whose sum is σ = 290398680000. Its totient is φ = 43014399408.

The previous prime is 131532201413. The next prime is 131532201439. The reversal of 131532201414 is 414102235131.

131532201414 is a `hidden beast` number, since 1 + 3 + 15 + 32 + 201 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131532201413) 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, 405837 + ... + 654039.

It is an arithmetic number, because the mean of its divisors is an integer number (6049972500).

Almost surely, 2131532201414 is an apocalyptic number.

131532201414 is an abundant number, since it is smaller than the sum of its proper divisors (158866478586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131532201414 is a wasteful number, since it uses less digits than its factorization.

131532201414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248769 (or 248766 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131532201414 its reverse (414102235131), we get a palindrome (545634436545).

The spelling of 131532201414 in words is "one hundred thirty-one billion, five hundred thirty-two million, two hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 59 118 177 354 499 531 998 1062 1497 2994 4491 8982 29441 58882 88323 176646 248203 264969 496406 529938 744609 1489218 2233827 4467654 14643977 29287954 43931931 87863862 123853297 131795793 247706594 263591586 371559891 743119782 1114679673 2229359346 7307344523 14614689046 21922033569 43844067138 65766100707 131532201414