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132013535350431 = 3719993144751789
BaseRepresentation
bin11110000001000011001011…
…111000010100111010011111
3122022102101000021000011221010
4132001003023320110322133
5114300402210022203211
61144434103024310303
736543443320612560
oct3601031370247237
9568371007004833
10132013535350431
1139077698135139
1212981135a72393
135887a9109c747
1424856bc532167
15103de959c54a6
hex7810cbe14e9f

132013535350431 has 16 divisors (see below), whose sum is σ = 201264114560000. Its totient is φ = 75398568869088.

The previous prime is 132013535350387. The next prime is 132013535350441. The reversal of 132013535350431 is 134053535310231.

It is not a de Polignac number, because 132013535350431 - 214 = 132013535334047 is a prime.

It is a super-2 number, since 2×1320135353504312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132013535350431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013535350441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572333916 + ... + 1572417873.

It is an arithmetic number, because the mean of its divisors is an integer number (12579007160000).

Almost surely, 2132013535350431 is an apocalyptic number.

132013535350431 is a deficient number, since it is larger than the sum of its proper divisors (69250579209569).

132013535350431 is a wasteful number, since it uses less digits than its factorization.

132013535350431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144753798.

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 132013535350431 in words is "one hundred thirty-two trillion, thirteen billion, five hundred thirty-five million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 1999 5997 13993 41979 3144751789 9434255367 22013262523 66039787569 6286358826211 18859076478633 44004511783477 132013535350431