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332132242231233 = 32320997111496547
BaseRepresentation
bin100101110000100101001000…
…0010100010000111111000001
31121112222112101000120120221100
41023201022100110100333001
5322013123313002344413
63134215240134245013
7126646522404121113
oct11341122024207701
91545875330516840
10332132242231233
1196911547084a54
1231301553ab6769
1311342c226798a2
145c0340184d3b3
15285e7c6238a73
hex12e1290510fc1

332132242231233 has 12 divisors (see below), whose sum is σ = 479746763296528. Its totient is φ = 221421406581720.

The previous prime is 332132242231171. The next prime is 332132242231241.

332132242231233 is a `hidden beast` number, since 3 + 3 + 213 + 2 + 2 + 422 + 3 + 12 + 3 + 3 = 666.

332132242231233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332132242231233 - 29 = 332132242230721 is a prime.

It is a super-2 number, since 2×3321322422312332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332132242231243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23141466 + ... + 34638012.

Almost surely, 2332132242231233 is an apocalyptic number.

It is an amenable number.

332132242231233 is a deficient number, since it is larger than the sum of its proper divisors (147614521065295).

332132242231233 is a wasteful number, since it uses less digits than its factorization.

332132242231233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706524 (or 14706521 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 332132242231233 in words is "three hundred thirty-two trillion, one hundred thirty-two billion, two hundred forty-two million, two hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 3209971 9629913 11496547 28889739 34489641 103468923 36903582470137 110710747410411 332132242231233