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330123312013220 = 225112136414591741
BaseRepresentation
bin100101100001111101101001…
…0101111101001111110100100
31121021212110222012221122211222
41023003323102233221332210
5321232220020333410340
63130040320023515512
7126351423264040025
oct11303732257517644
91537773865848758
10330123312013220
1196207568375200
12310381392b8b98
1311228657c5875b
145b740a6d50c4c
1528273e92658b5
hex12c3ed2be9fa4

330123312013220 has 36 divisors (see below), whose sum is σ = 762011909470812. Its totient is φ = 120044840731200.

The previous prime is 330123312013219. The next prime is 330123312013301. The reversal of 330123312013220 is 22310213321033.

It can be written as a sum of positive squares in 2 ways, for example, as 188322705117184 + 141800606896036 = 13723072^2 + 11908006^2 .

It is a super-2 number, since 2×3301233120132202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330123312013220.

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, 68207293451 + ... + 68207298290.

Almost surely, 2330123312013220 is an apocalyptic number.

It is an amenable number.

330123312013220 is an abundant number, since it is smaller than the sum of its proper divisors (431888597457592).

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

330123312013220 is a wasteful number, since it uses less digits than its factorization.

330123312013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136414591772 (or 136414591759 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 330123312013220 its reverse (22310213321033), we get a palindrome (352433525334253).

The spelling of 330123312013220 in words is "three hundred thirty trillion, one hundred twenty-three billion, three hundred twelve million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 136414591741 272829183482 545658366964 682072958705 1364145917410 1500560509151 2728291834820 3001121018302 6002242036604 7502802545755 15005605091510 16506165600661 30011210183020 33012331201322 66024662402644 82530828003305 165061656006610 330123312013220