Search a number
-
+
2132312013 = 33136074963
BaseRepresentation
bin111111100011000…
…0111111111001101
312111121022200012000
41333012013333031
513331332441023
6551330502513
7103561232046
oct17706077715
95447280160
102132312013
119a46a8637
124b6134a39
1327c9c22b0
1416329b8cd
15c72eb243
hex7f187fcd

2132312013 has 16 divisors (see below), whose sum is σ = 3401979840. Its totient is φ = 1312191792.

The previous prime is 2132312003. The next prime is 2132312053. The reversal of 2132312013 is 3102132312.

It is not a de Polignac number, because 2132312013 - 25 = 2132311981 is a prime.

It is a super-2 number, since 2×21323120132 = 9093509041568224338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132312003) 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, 3037131 + ... + 3037832.

It is an arithmetic number, because the mean of its divisors is an integer number (212623740).

Almost surely, 22132312013 is an apocalyptic number.

It is an amenable number.

2132312013 is a deficient number, since it is larger than the sum of its proper divisors (1269667827).

2132312013 is a wasteful number, since it uses less digits than its factorization.

2132312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074985 (or 6074979 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2132312013 is about 46176.9640946652. The cubic root of 2132312013 is about 1287.1137146115.

Adding to 2132312013 its reverse (3102132312), we get a palindrome (5234444325).

The spelling of 2132312013 in words is "two billion, one hundred thirty-two million, three hundred twelve thousand, thirteen".

Divisors: 1 3 9 13 27 39 117 351 6074963 18224889 54674667 78974519 164024001 236923557 710770671 2132312013