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131442022032 = 2432738375459
BaseRepresentation
bin111101001101010001…
…1100001011010010000
3110120021102100112222020
41322122203201122100
54123143124201112
6140214510411440
712332153516136
oct1723243413220
9416242315866
10131442022032
115082065a682
1221583800b80
13c5198772c9
14650cbd9756
15364475948c
hex1e9a8e1690

131442022032 has 20 divisors (see below), whose sum is σ = 339558557040. Its totient is φ = 43814007328.

The previous prime is 131442022031. The next prime is 131442022039. The reversal of 131442022032 is 230220244131.

It is a happy number.

131442022032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131442021993 and 131442022011.

It is not an unprimeable number, because it can be changed into a prime (131442022031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1369187682 + ... + 1369187777.

It is an arithmetic number, because the mean of its divisors is an integer number (16977927852).

Almost surely, 2131442022032 is an apocalyptic number.

131442022032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131442022032 is an abundant number, since it is smaller than the sum of its proper divisors (208116535008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131442022032 is a wasteful number, since it uses less digits than its factorization.

131442022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738375470 (or 2738375464 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 131442022032 its reverse (230220244131), we get a palindrome (361662266163).

The spelling of 131442022032 in words is "one hundred thirty-one billion, four hundred forty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2738375459 5476750918 8215126377 10953501836 16430252754 21907003672 32860505508 43814007344 65721011016 131442022032