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132313335001 = 172213972
BaseRepresentation
bin111101100111001111…
…1010100010011011001
3110122112010212211122221
41323032133110103121
54131434203210001
6140441153544041
712362563535161
oct1731637242331
9418463784587
10132313335001
1151128478a41
1221787575021
13c628238503
1465928095a1
153695ebb1a1
hex1ece7d44d9

132313335001 has 9 divisors (see below), whose sum is σ = 140560873149. Its totient is φ = 124524377664.

The previous prime is 132313334999. The next prime is 132313335019. The reversal of 132313335001 is 100533313231.

The square root of 132313335001 is 363749.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 88506845001 + 43806490000 = 297501^2 + 209300^2 .

It is not a de Polignac number, because 132313335001 - 21 = 132313334999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132313335101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6173035 + ... + 6194431.

Almost surely, 2132313335001 is an apocalyptic number.

132313335001 is the 363749-th square number.

132313335001 is the 181875-th centered octagonal number.

It is an amenable number.

132313335001 is a deficient number, since it is larger than the sum of its proper divisors (8247538148).

132313335001 is an frugal number, since it uses more digits than its factorization.

132313335001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42828 (or 21414 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

Multiplying 132313335001 by its sum of digits (25), we get a square (3307833375025 = 18187452).

Adding to 132313335001 its reverse (100533313231), we get a palindrome (232846648232).

The spelling of 132313335001 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred thirty-five thousand, one".

Divisors: 1 17 289 21397 363749 6183733 457831609 7783137353 132313335001