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1004412131031 = 34724129558051
BaseRepresentation
bin11101001110110111010…
…00001101011011010111
310120000120012121220102110
432213123220031123113
5112424014001143111
62045230501442103
7132365161150551
oct16473350153327
93500505556373
101004412131031
11357a72510281
121427b3710333
137393c3b836a
14368843dc4d1
151b1d8c995a6
hexe9dba0d6d7

1004412131031 has 16 divisors (see below), whose sum is σ = 1373385328128. Its totient is φ = 652641744000.

The previous prime is 1004412131003. The next prime is 1004412131039. The reversal of 1004412131031 is 1301312144001.

It is not a de Polignac number, because 1004412131031 - 231 = 1002264647383 is a prime.

It is a super-2 number, since 2×10044121310312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004412130989 and 1004412131007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004412131039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14745045 + ... + 14813006.

It is an arithmetic number, because the mean of its divisors is an integer number (85836583008).

Almost surely, 21004412131031 is an apocalyptic number.

1004412131031 is a deficient number, since it is larger than the sum of its proper divisors (368973197097).

1004412131031 is a wasteful number, since it uses less digits than its factorization.

1004412131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29558342.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1004412131031 its reverse (1301312144001), we get a palindrome (2305724275032).

The spelling of 1004412131031 in words is "one trillion, four billion, four hundred twelve million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 47 141 241 723 11327 33981 29558051 88674153 1389228397 4167685191 7123490291 21370470873 334804043677 1004412131031