Search a number
-
+
1131021330131 = 71127295382407
BaseRepresentation
bin10000011101010110000…
…111111110011011010011
311000010100211011121122202
4100131112013332123103
5122012312430031011
62223330052153415
7144466522453160
oct20352607763323
94003324147582
101131021330131
113a6733067510
1216324890886b
1382868938214
143ca55413067
151e6490c123b
hex107561fe6d3

1131021330131 has 16 divisors (see below), whose sum is σ = 1410621488640. Its totient is φ = 880992214080.

The previous prime is 1131021330107. The next prime is 1131021330149. The reversal of 1131021330131 is 1310331201311.

It is not a de Polignac number, because 1131021330131 - 230 = 1129947588307 is a prime.

It is a super-2 number, since 2×11310213301312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131021330931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2481071 + ... + 2901336.

It is an arithmetic number, because the mean of its divisors is an integer number (88163843040).

Almost surely, 21131021330131 is an apocalyptic number.

1131021330131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131021330131 is a deficient number, since it is larger than the sum of its proper divisors (279600158509).

1131021330131 is a wasteful number, since it uses less digits than its factorization.

1131021330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385154.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1131021330131 its reverse (1310331201311), we get a palindrome (2441352531442).

The spelling of 1131021330131 in words is "one trillion, one hundred thirty-one billion, twenty-one million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 11 77 2729 19103 30019 210133 5382407 37676849 59206477 414445339 14688588703 102820120921 161574475733 1131021330131