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132333312013 = 726373423769
BaseRepresentation
bin111101100111110101…
…1100001100000001101
3110122120112110202222021
41323033223201200031
54132004311441023
6140443150050141
712363225410200
oct1731753414015
9418515422867
10132333312013
1151138782a71
12217921a9951
13c62c411326
146595329937
153697b1535d
hex1ecfae180d

132333312013 has 12 divisors (see below), whose sum is σ = 153963268860. Its totient is φ = 113410487232.

The previous prime is 132333311993. The next prime is 132333312029. The reversal of 132333312013 is 310213333231.

It can be written as a sum of positive squares in 2 ways, for example, as 116757523204 + 15575788809 = 341698^2 + 124803^2 .

It is a de Polignac number, because none of the positive numbers 2k-132333312013 is a prime.

It is a super-2 number, since 2×1323333120132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132333312043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100393 + ... + 524161.

It is an arithmetic number, because the mean of its divisors is an integer number (12830272405).

Almost surely, 2132333312013 is an apocalyptic number.

It is an amenable number.

132333312013 is a deficient number, since it is larger than the sum of its proper divisors (21629956847).

132333312013 is an equidigital number, since it uses as much as digits as its factorization.

132333312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430156 (or 430149 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 132333312013 its reverse (310213333231), we get a palindrome (442546645244).

The spelling of 132333312013 in words is "one hundred thirty-two billion, three hundred thirty-three million, three hundred twelve thousand, thirteen".

Divisors: 1 7 49 6373 44611 312277 423769 2966383 20764681 2700679837 18904758859 132333312013