Search a number
-
+
2112131031 = 341127135211
BaseRepresentation
bin111110111100100…
…1000111111010111
312110012100101002020
41331321020333113
513311201143111
6545330144223
7103224550263
oct17571107727
95405311066
102112131031
1199427433a
124ab422073
1327877769a
141607270a3
15c5661906
hex7de48fd7

2112131031 has 16 divisors (see below), whose sum is σ = 2907598848. Its totient is φ = 1362916800.

The previous prime is 2112131027. The next prime is 2112131053. The reversal of 2112131031 is 1301312112.

It is a happy number.

It is not a de Polignac number, because 2112131031 - 22 = 2112131027 is a prime.

It is a super-2 number, since 2×21121310312 = 8922194984226245922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112131031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112131011) 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, 51985 + ... + 83226.

It is an arithmetic number, because the mean of its divisors is an integer number (181724928).

Almost surely, 22112131031 is an apocalyptic number.

2112131031 is a deficient number, since it is larger than the sum of its proper divisors (795467817).

2112131031 is a wasteful number, since it uses less digits than its factorization.

2112131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135382.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2112131031 is about 45957.9267482771. The cubic root of 2112131031 is about 1283.0402646839.

Adding to 2112131031 its reverse (1301312112), we get a palindrome (3413443143).

The spelling of 2112131031 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 41 123 127 381 5207 15621 135211 405633 5543651 16630953 17171797 51515391 704043677 2112131031