Search a number
-
+
131131002213333 = 349111777059563
BaseRepresentation
bin11101110100001101010000…
…110011100101001111010101
3122012022000001000012200010000
4131310031100303211033111
5114141422243031311313
61142520430100321513
736422621322664563
oct3564152063451725
9565260030180100
10131131002213333
1138867389197a31
121285a0973a3299
1358227a6258c95
142454abac36a33
151026041b40673
hex774350ce53d5

131131002213333 has 20 divisors (see below), whose sum is σ = 196102077006528. Its totient is φ = 87324706876680.

The previous prime is 131131002213331. The next prime is 131131002213361. The reversal of 131131002213333 is 333312200131131.

131131002213333 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 100 + 221 + 3 + 333 = 666.

It is not a de Polignac number, because 131131002213333 - 21 = 131131002213331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131131002213297 and 131131002213306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131002213331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 888455991 + ... + 888603572.

Almost surely, 2131131002213333 is an apocalyptic number.

It is an amenable number.

131131002213333 is a deficient number, since it is larger than the sum of its proper divisors (64971074793195).

131131002213333 is an equidigital number, since it uses as much as digits as its factorization.

131131002213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777060486 (or 1777060477 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131131002213333 its reverse (333312200131131), we get a palindrome (464443202344464).

The spelling of 131131002213333 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, two million, two hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 27 81 911 2733 8199 24597 73791 1777059563 5331178689 15993536067 47980608201 143941824603 1618901261893 4856703785679 14570111357037 43710334071111 131131002213333