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131112341433 = 3265257223241
BaseRepresentation
bin111101000011011100…
…1111000111110111001
3110112102110000001012200
41322012321320332321
54122004224411213
6140122052300413
712321041341203
oct1720671707671
9415373001180
10131112341433
1150671553777
12214b1311709
13c496486a28
1464bb0db773
153625836273
hex1e86e78fb9

131112341433 has 12 divisors (see below), whose sum is σ = 189388243668. Its totient is φ = 87406496640.

The previous prime is 131112341387. The next prime is 131112341443. The reversal of 131112341433 is 334143211131.

131112341433 is a `hidden beast` number, since 1 + 311 + 1 + 2 + 341 + 4 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22467611664 + 108644729769 = 149892^2 + 329613^2 .

It is not a de Polignac number, because 131112341433 - 26 = 131112341369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131112341397 and 131112341406.

It is not an unprimeable number, because it can be changed into a prime (131112341443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475693 + ... + 698933.

It is an arithmetic number, because the mean of its divisors is an integer number (15782353639).

Almost surely, 2131112341433 is an apocalyptic number.

It is an amenable number.

131112341433 is a deficient number, since it is larger than the sum of its proper divisors (58275902235).

131112341433 is a wasteful number, since it uses less digits than its factorization.

131112341433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288504 (or 288501 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 131112341433 its reverse (334143211131), we get a palindrome (465255552564).

The spelling of 131112341433 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 65257 195771 223241 587313 669723 2009169 14568037937 43704113811 131112341433