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331313311233 = 3419321193201
BaseRepresentation
bin1001101001000111100…
…11111110111000000001
31011200011210110001110000
410310203303332320001
520412012201424413
6412111522030213
732636152452042
oct4644363767001
91150153401400
10331313311233
111185667aa513
12542641a8369
132532030c738
141206db748c9
158941757073
hex4d23cfee01

331313311233 has 20 divisors (see below), whose sum is σ = 497489223748. Its totient is φ = 219731097600.

The previous prime is 331313311211. The next prime is 331313311247. The reversal of 331313311233 is 332113313133.

331313311233 is a `hidden beast` number, since 3 + 3 + 1 + 313 + 311 + 2 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25070605569 + 306242705664 = 158337^2 + 553392^2 .

It is not a de Polignac number, because 331313311233 - 224 = 331296534017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331313311197 and 331313311206.

It is not an unprimeable number, because it can be changed into a prime (331313311033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10580968 + ... + 10612233.

Almost surely, 2331313311233 is an apocalyptic number.

It is an amenable number.

331313311233 is a deficient number, since it is larger than the sum of its proper divisors (166175912515).

331313311233 is a wasteful number, since it uses less digits than its factorization.

331313311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21193406 (or 21193397 counting only the distinct ones).

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

Adding to 331313311233 its reverse (332113313133), we get a palindrome (663426624366).

The spelling of 331313311233 in words is "three hundred thirty-one billion, three hundred thirteen million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 193 579 1737 5211 15633 21193201 63579603 190738809 572216427 1716649281 4090287793 12270863379 36812590137 110437770411 331313311233