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332033310113013 = 32257143550933901
BaseRepresentation
bin100101101111110111000011…
…1100000001011110011110101
31121112122002000021100021002200
41023133232013200023303311
5322010013204342104023
63134101555155455113
7126636420645025425
oct11337560740136365
91545562007307080
10332033310113013
1196883599517283
12312a63438b7499
13113367b7183972
145bdc6d856a485
15285be35b3d743
hex12dfb8780bcf5

332033310113013 has 12 divisors (see below), whose sum is σ = 481469832307308. Its totient is φ = 220494234470400.

The previous prime is 332033310113009. The next prime is 332033310113149. The reversal of 332033310113013 is 310311013330233.

332033310113013 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 33 + 310 + 11 + 301 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 310924734431364 + 21108575681649 = 17633058^2 + 4594407^2 .

It is not a de Polignac number, because 332033310113013 - 22 = 332033310113009 is a prime.

It is a super-2 number, since 2×3320333101130132 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332033310113003) 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, 71775464638 + ... + 71775469263.

It is an arithmetic number, because the mean of its divisors is an integer number (40122486025609).

Almost surely, 2332033310113013 is an apocalyptic number.

It is an amenable number.

332033310113013 is a deficient number, since it is larger than the sum of its proper divisors (149436522194295).

332033310113013 is a wasteful number, since it uses less digits than its factorization.

332033310113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143550934164 (or 143550934161 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 332033310113013 its reverse (310311013330233), we get a palindrome (642344323443246).

The spelling of 332033310113013 in words is "three hundred thirty-two trillion, thirty-three billion, three hundred ten million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 257 771 2313 143550933901 430652801703 1291958405109 36892590012557 110677770037671 332033310113013