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332024121420233 = 11211324283194721
BaseRepresentation
bin100101101111110010110001…
…1110100000110100111001001
31121112121012021220012022020212
41023133211203310012213021
5322004340400040421413
63134053435314130505
7126635644151312564
oct11337454364064711
91545535256168225
10332024121420233
119687a703766400
12312a45ba580a35
13113359815a7c48
145bdc0a60774db
15285ba990dcca8
hex12df963d069c9

332024121420233 has 12 divisors (see below), whose sum is σ = 368181798374964. Its totient is φ = 299168958950400.

The previous prime is 332024121420197. The next prime is 332024121420247.

332024121420233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 87320296988089 + 244703824432144 = 9344533^2 + 15643012^2 .

It is not a de Polignac number, because 332024121420233 - 216 = 332024121354697 is a prime.

It is a super-2 number, since 2×3320241214202332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332024121420233.

It is not an unprimeable number, because it can be changed into a prime (332024171420233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12141583688 + ... + 12141611033.

It is an arithmetic number, because the mean of its divisors is an integer number (30681816531247).

Almost surely, 2332024121420233 is an apocalyptic number.

It is an amenable number.

332024121420233 is a deficient number, since it is larger than the sum of its proper divisors (36157676954731).

332024121420233 is a wasteful number, since it uses less digits than its factorization.

332024121420233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24283194856 (or 24283194845 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 332024121420233 in words is "three hundred thirty-two trillion, twenty-four billion, one hundred twenty-one million, four hundred twenty thousand, two hundred thirty-three".

Divisors: 1 11 113 121 1243 13673 24283194721 267115141931 2744001003473 2938266561241 30184011038203 332024121420233