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2132311013 = 71392518731
BaseRepresentation
bin111111100011000…
…0111101111100101
312111121022121210222
41333012013233211
513331332423023
6551330454125
7103561226120
oct17706075745
95447277728
102132311013
119a46a7908
124b6134345
1327c9c19c1
1416329b3b7
15c72eacc8
hex7f187be5

2132311013 has 16 divisors (see below), whose sum is σ = 2464519680. Its totient is φ = 1807110000.

The previous prime is 2132311009. The next prime is 2132311033. The reversal of 2132311013 is 3101132312.

It is a cyclic number.

It is not a de Polignac number, because 2132311013 - 22 = 2132311009 is a prime.

It is a super-2 number, since 2×21323110132 = 9093500512322172338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132310982 and 2132311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132311033) 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, 239858 + ... + 248588.

It is an arithmetic number, because the mean of its divisors is an integer number (154032480).

Almost surely, 22132311013 is an apocalyptic number.

It is an amenable number.

2132311013 is a deficient number, since it is larger than the sum of its proper divisors (332208667).

2132311013 is a wasteful number, since it uses less digits than its factorization.

2132311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2132311013 is about 46176.9532667542. The cubic root of 2132311013 is about 1287.1135134036.

Adding to 2132311013 its reverse (3101132312), we get a palindrome (5233443325).

The spelling of 2132311013 in words is "two billion, one hundred thirty-two million, three hundred eleven thousand, thirteen".

Divisors: 1 7 139 251 973 1757 8731 34889 61117 244223 1213609 2191481 8495263 15340367 304615859 2132311013