Search a number
-
+
3131111001 = 341471094969
BaseRepresentation
bin1011101010100000…
…1111011001011001
322002012201220211010
42322220033121121
522403031023001
61234410324133
7140410001334
oct27250173131
98065656733
103131111001
111367481047
12734729649
133ab8cb905
14219bb561b
15134d418d6
hexbaa0f659

3131111001 has 32 divisors (see below), whose sum is σ = 4408588800. Its totient is φ = 1974481920.

The previous prime is 3131110979. The next prime is 3131111033. The reversal of 3131111001 is 1001111313.

It is not a de Polignac number, because 3131111001 - 213 = 3131102809 is a prime.

It is a super-2 number, since 2×31311110012 = 19607712201166444002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3131111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627645 + ... + 632613.

It is an arithmetic number, because the mean of its divisors is an integer number (137768400).

Almost surely, 23131111001 is an apocalyptic number.

It is an amenable number.

3131111001 is a deficient number, since it is larger than the sum of its proper divisors (1277477799).

3131111001 is a wasteful number, since it uses less digits than its factorization.

3131111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 3131111001 is about 55956.3311967466. The cubic root of 3131111001 is about 1462.9612445966.

Adding to 3131111001 its reverse (1001111313), we get a palindrome (4132222314).

The spelling of 3131111001 in words is "three billion, one hundred thirty-one million, one hundred eleven thousand, one".

Divisors: 1 3 41 47 109 123 141 327 1927 4469 4969 5123 5781 13407 14907 15369 203729 210043 233543 541621 611187 630129 700629 1624863 9575263 22206461 25456187 28725789 66619383 76368561 1043703667 3131111001