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131045433233031 = 32385134403109903
BaseRepresentation
bin11101110010111101100100…
…011111110100111010000111
3122011222211011120002002022100
4131302331210133310322013
5114134022021401424111
61142413235124203143
736413501666443032
oct3562754437647207
9564884146062270
10131045433233031
1138834068792599
12128455965394b3
1358176ba43ab65
1424508c060a019
151023bd47c8756
hex772f647f4e87

131045433233031 has 24 divisors (see below), whose sum is σ = 189344227228416. Its totient is φ = 87337602752400.

The previous prime is 131045433233017. The next prime is 131045433233047. The reversal of 131045433233031 is 130332334540131.

131045433233031 is a `hidden beast` number, since 1 + 3 + 10 + 4 + 5 + 4 + 332 + 3 + 303 + 1 = 666.

It is not a de Polignac number, because 131045433233031 - 223 = 131045424844423 is a prime.

It is a super-2 number, since 2×1310454332330312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045433233531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192318626 + ... + 1192428528.

It is an arithmetic number, because the mean of its divisors is an integer number (7889342801184).

Almost surely, 2131045433233031 is an apocalyptic number.

131045433233031 is a deficient number, since it is larger than the sum of its proper divisors (58298793995385).

131045433233031 is a wasteful number, since it uses less digits than its factorization.

131045433233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148163 (or 148160 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 131045433233031 its reverse (130332334540131), we get a palindrome (261377767773162).

The spelling of 131045433233031 in words is "one hundred thirty-one trillion, forty-five billion, four hundred thirty-three million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 3851 11553 34403 34659 103209 109903 309627 329709 989127 132485953 397457859 423236453 1192373577 1269709359 3780992909 3809128077 11342978727 34028936181 14560603692559 43681811077677 131045433233031