Search a number
-
+
1012001131131 = 31170128829477
BaseRepresentation
bin11101011100111111111…
…01111100101001111011
310120202011002200001110020
432232133331330221323
5113040034242144011
62052523520221523
7133054221453354
oct16563775745173
93522132601406
101012001131131
1136020728a391
1214417116a8a3
137457b738173
1436da427ad2b
151b4d015c006
hexeb9ff7ca7b

1012001131131 has 8 divisors (see below), whose sum is σ = 1349450206224. Its totient is φ = 674609738400.

The previous prime is 1012001131129. The next prime is 1012001131157. The reversal of 1012001131131 is 1311311002101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1012001131131 - 21 = 1012001131129 is a prime.

It is a super-2 number, since 2×10120011311312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1012001131131.

It is not an unprimeable number, because it can be changed into a prime (1012001131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14379636 + ... + 14449841.

It is an arithmetic number, because the mean of its divisors is an integer number (168681275778).

Almost surely, 21012001131131 is an apocalyptic number.

1012001131131 is a deficient number, since it is larger than the sum of its proper divisors (337449075093).

1012001131131 is a wasteful number, since it uses less digits than its factorization.

1012001131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28841181.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1012001131131 its reverse (1311311002101), we get a palindrome (2323312133232).

The spelling of 1012001131131 in words is "one trillion, twelve billion, one million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 11701 35103 28829477 86488431 337333710377 1012001131131