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1332007131 = 37213253617
BaseRepresentation
bin100111101100100…
…1101000011011011
310102211101222021110
41033121031003123
510211443212011
6340101311403
745002605500
oct11731150333
93384358243
101332007131
11623979744
12312105563
13182c63700
14c8c934a7
157be13ba6
hex4f64d0db

1332007131 has 36 divisors (see below), whose sum is σ = 2237157432. Its totient is φ = 702584064.

The previous prime is 1332007123. The next prime is 1332007133. The reversal of 1332007131 is 1317002331.

It is not a de Polignac number, because 1332007131 - 23 = 1332007123 is a prime.

It is a super-2 number, since 2×13320071312 = 3548485994069702322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1332007098 and 1332007107.

It is not an unprimeable number, because it can be changed into a prime (1332007133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1966 + ... + 51651.

It is an arithmetic number, because the mean of its divisors is an integer number (62143262).

Almost surely, 21332007131 is an apocalyptic number.

1332007131 is a deficient number, since it is larger than the sum of its proper divisors (905150301).

1332007131 is a wasteful number, since it uses less digits than its factorization.

1332007131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53660 (or 53640 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1332007131 is about 36496.6728757568. The cubic root of 1332007131 is about 1100.2773766072.

Adding to 1332007131 its reverse (1317002331), we get a palindrome (2649009462).

The spelling of 1332007131 in words is "one billion, three hundred thirty-two million, seven thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 507 637 1183 1911 3549 8281 24843 53617 160851 375319 697021 1125957 2091063 2627233 4879147 7881699 9061273 14637441 27183819 34154029 63428911 102462087 190286733 444002377 1332007131