Search a number
-
+
1000032112131 = 31349951386471
BaseRepresentation
bin11101000110101101000…
…11110000111000000011
310112121020221211220001020
432203112203300320003
5112341031210042011
62043224114440523
7132151504462263
oct16432643607003
93477227756036
101000032112131
11356125069248
12141990893143
13733c1b2ccc0
143658a8057a3
151b02e4ab006
hexe8d68f0e03

1000032112131 has 16 divisors (see below), whose sum is σ = 1438821216000. Its totient is φ = 614171089440.

The previous prime is 1000032112129. The next prime is 1000032112139. The reversal of 1000032112131 is 1312112300001.

It is a happy number.

It is not a de Polignac number, because 1000032112131 - 21 = 1000032112129 is a prime.

It is a super-2 number, since 2×10000321121312 (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 1000032112131.

It is not an unprimeable number, because it can be changed into a prime (1000032112139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25673775 + ... + 25712696.

It is an arithmetic number, because the mean of its divisors is an integer number (89926326000).

Almost surely, 21000032112131 is an apocalyptic number.

1000032112131 is a deficient number, since it is larger than the sum of its proper divisors (438789103869).

1000032112131 is a wasteful number, since it uses less digits than its factorization.

1000032112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51386986.

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

Adding to 1000032112131 its reverse (1312112300001), we get a palindrome (2312144412132).

The spelling of 1000032112131 in words is "one trillion, thirty-two million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 13 39 499 1497 6487 19461 51386471 154159413 668024123 2004072369 25641849029 76925547087 333344037377 1000032112131