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3331121133132 = 2232137117780199
BaseRepresentation
bin110000011110010110010…
…010101011011001001100
3102210110012120002200002200
4300132112102223121030
5414034114002230012
611030143530321500
7462444200310132
oct60362622533114
912713176080080
103331121133132
1110747a2045a11
12459715889290
131b217b093690
14b7327323752
155b9b41893dc
hex307964ab64c

3331121133132 has 36 divisors (see below), whose sum is σ = 9068051974800. Its totient is φ = 1024960348512.

The previous prime is 3331121133073. The next prime is 3331121133143. The reversal of 3331121133132 is 2313311211333.

3331121133132 is a `hidden beast` number, since 3 + 3 + 311 + 2 + 11 + 331 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33311211331322 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3331121133096 and 3331121133105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3558889632 + ... + 3558890567.

Almost surely, 23331121133132 is an apocalyptic number.

It is an amenable number.

3331121133132 is an abundant number, since it is smaller than the sum of its proper divisors (5736930841668).

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

3331121133132 is a wasteful number, since it uses less digits than its factorization.

3331121133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117780222 (or 7117780217 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 3331121133132 its reverse (2313311211333), we get a palindrome (5644432344465).

The spelling of 3331121133132 in words is "three trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 7117780199 14235560398 21353340597 28471120796 42706681194 64060021791 85413362388 92531142587 128120043582 185062285174 256240087164 277593427761 370124570348 555186855522 832780283283 1110373711044 1665560566566 3331121133132