Search a number
-
+
1316046406131 = 32971825782571
BaseRepresentation
bin10011001001101010011…
…110101000000111110011
311122210221112111100021100
4103021222132220013303
5133030230334444011
62444330001455443
7164036566610502
oct23115236500763
94583845440240
101316046406131
1146814a983666
12193085341583
139714467b002
14479a875a839
1524377a35d56
hex1326a7a81f3

1316046406131 has 24 divisors (see below), whose sum is σ = 1920681859824. Its totient is φ = 868261201920.

The previous prime is 1316046406117. The next prime is 1316046406183.

1316046406131 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 0 + 4 + 640 + 6 + 1 + 3 + 1 = 666.

1316046406131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1316046406131 - 221 = 1316044308979 is a prime.

It is a super-2 number, since 2×13160464061312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1316046406111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15897076 + ... + 15979646.

It is an arithmetic number, because the mean of its divisors is an integer number (80028410826).

Almost surely, 21316046406131 is an apocalyptic number.

1316046406131 is a deficient number, since it is larger than the sum of its proper divisors (604635453693).

1316046406131 is a wasteful number, since it uses less digits than its factorization.

1316046406131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100931 (or 100928 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1316046406131 in words is "one trillion, three hundred sixteen billion, forty-six million, four hundred six thousand, one hundred thirty-one".

Divisors: 1 3 9 97 291 873 18257 54771 82571 164313 247713 743139 1770929 5312787 8009387 15938361 24028161 72084483 1507498747 4522496241 13567488723 146227378459 438682135377 1316046406131