Search a number
-
+
3131122095 = 33579729101
BaseRepresentation
bin1011101010100001…
…0010000110101111
322002012202111001000
42322220102012233
522403031401340
61234410451343
7140410045563
oct27250220657
98065674030
103131122095
111367489412
12734733b53
133ab90398a
14219bb96a3
15134d44d30
hexbaa121af

3131122095 has 32 divisors (see below), whose sum is σ = 5573615040. Its totient is φ = 1667779200.

The previous prime is 3131122091. The next prime is 3131122097. The reversal of 3131122095 is 5902211313.

3131122095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3131122095 - 22 = 3131122091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131122091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93045 + ... + 122145.

It is an arithmetic number, because the mean of its divisors is an integer number (174175470).

Almost surely, 23131122095 is an apocalyptic number.

3131122095 is a deficient number, since it is larger than the sum of its proper divisors (2442492945).

3131122095 is a wasteful number, since it uses less digits than its factorization.

3131122095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29912 (or 29906 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 3131122095 is about 55956.4303275325. The cubic root of 3131122095 is about 1462.9629724256.

The spelling of 3131122095 in words is "three billion, one hundred thirty-one million, one hundred twenty-two thousand, ninety-five".

Divisors: 1 3 5 9 15 27 45 135 797 2391 3985 7173 11955 21519 29101 35865 87303 107595 145505 261909 436515 785727 1309545 3928635 23193497 69580491 115967485 208741473 347902455 626224419 1043707365 3131122095