Search a number
-
+
132015022032131 = 7293183192042983
BaseRepresentation
bin11110000001000100100100…
…011111100100010100000011
3122022102111211212110102211022
4132001010210133210110003
5114300413231120012011
61144434510333140055
736543525212320550
oct3601044437442403
9568374755412738
10132015022032131
11390782903490a7
121298148b92a62b
135887c6a0aa964
1424857bdb69a27
15103e03128d8db
hex7811247e4503

132015022032131 has 16 divisors (see below), whose sum is σ = 156077440051200. Its totient is φ = 109253414638368.

The previous prime is 132015022032107. The next prime is 132015022032139. The reversal of 132015022032131 is 131230220510231.

It is a de Polignac number, because none of the positive numbers 2k-132015022032131 is a prime.

It is a super-2 number, since 2×1320150220321312 (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 132015022032131.

It is not an unprimeable number, because it can be changed into a prime (132015022032139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63597266 + ... + 65640248.

It is an arithmetic number, because the mean of its divisors is an integer number (9754840003200).

Almost surely, 2132015022032131 is an apocalyptic number.

132015022032131 is a deficient number, since it is larger than the sum of its proper divisors (24062418019069).

132015022032131 is a wasteful number, since it uses less digits than its factorization.

132015022032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361338.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 132015022032131 its reverse (131230220510231), we get a palindrome (263245242542362).

The spelling of 132015022032131 in words is "one hundred thirty-two trillion, fifteen billion, twenty-two million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 29 203 318319 2042983 2228233 9231251 14300881 59246507 64618757 414725549 650320305577 4552242139039 18859288861733 132015022032131