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131142210242433 = 31319176980040813
BaseRepresentation
bin11101110100010111101100…
…110110110100011110000001
3122012100001222010002112121220
4131310113230312310132001
5114142113221310224213
61142525522155305253
736423466136445345
oct3564275466643601
9565301863075556
10131142210242433
113887110a8a20a5
12128602a4a4b229
1358238712bc370
1424554615b9625
15102649aac2e23
hex7745ecdb4781

131142210242433 has 16 divisors (see below), whose sum is σ = 198217645711680. Its totient is φ = 76455377630784.

The previous prime is 131142210242429. The next prime is 131142210242453. The reversal of 131142210242433 is 334242012241131.

It is not a de Polignac number, because 131142210242433 - 22 = 131142210242429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131142210242394 and 131142210242403.

It is not an unprimeable number, because it can be changed into a prime (131142210242453) 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, 88490019666 + ... + 88490021147.

It is an arithmetic number, because the mean of its divisors is an integer number (12388602856980).

Almost surely, 2131142210242433 is an apocalyptic number.

131142210242433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131142210242433 is a deficient number, since it is larger than the sum of its proper divisors (67075435469247).

131142210242433 is a wasteful number, since it uses less digits than its factorization.

131142210242433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176980040848.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131142210242433 its reverse (334242012241131), we get a palindrome (465384222483564).

The spelling of 131142210242433 in words is "one hundred thirty-one trillion, one hundred forty-two billion, two hundred ten million, two hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 3 13 19 39 57 247 741 176980040813 530940122439 2300740530569 3362620775447 6902221591707 10087862326341 43714070080811 131142210242433