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132313413201 = 31713938947981
BaseRepresentation
bin111101100111001111…
…1100111011001010001
3110122112011000210221020
41323032133213121101
54131434213210301
6140441155350053
712362564312154
oct1731637473121
9418464023836
10132313413201
1151128521772
12217875b2329
13c628264c98
146592829c9b
153695ed4436
hex1ece7e7651

132313413201 has 32 divisors (see below), whose sum is σ = 188626838400. Its totient is φ = 82209315840.

The previous prime is 132313413191. The next prime is 132313413209. The reversal of 132313413201 is 102314313231.

It is not a de Polignac number, because 132313413201 - 26 = 132313413137 is a prime.

It is a super-2 number, since 2×1323134132012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132313413209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2733631 + ... + 2781611.

It is an arithmetic number, because the mean of its divisors is an integer number (5894588700).

Almost surely, 2132313413201 is an apocalyptic number.

It is an amenable number.

132313413201 is a deficient number, since it is larger than the sum of its proper divisors (56313425199).

132313413201 is a wasteful number, since it uses less digits than its factorization.

132313413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48529.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132313413201 its reverse (102314313231), we get a palindrome (234627726432).

The spelling of 132313413201 in words is "one hundred thirty-two billion, three hundred thirteen million, four hundred thirteen thousand, two hundred one".

Divisors: 1 3 17 51 139 389 417 1167 2363 6613 7089 19839 47981 54071 143943 162213 815677 919207 2447031 2757621 6669359 18664609 20008077 55993827 113379103 317298353 340137309 951895059 2594380651 7783141953 44104471067 132313413201