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13311321213222 = 233298500205117
BaseRepresentation
bin1100000110110100100010…
…0100101000100100100110
31202010112211212021202222000
43001231020210220210212
53221043041212310342
644151045254350130
72542465643300424
oct301551044504446
952115755252860
1013311321213222
11427233288805a
1215ab9a665b346
13757338128b56
143403b2970114
151813d0bd444c
hexc1b48928926

13311321213222 has 32 divisors (see below), whose sum is σ = 30600738424800. Its totient is φ = 4284103378464.

The previous prime is 13311321213143. The next prime is 13311321213233. The reversal of 13311321213222 is 22231212311331.

13311321213222 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 321 + 2 + 1 + 322 + 2 = 666.

It is a super-3 number, since 3×133113212132223 (a number of 40 digits) contains 333 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4250100993 + ... + 4250104124.

It is an arithmetic number, because the mean of its divisors is an integer number (956273075775).

Almost surely, 213311321213222 is an apocalyptic number.

13311321213222 is an abundant number, since it is smaller than the sum of its proper divisors (17289417211578).

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

13311321213222 is a wasteful number, since it uses less digits than its factorization.

13311321213222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500205157 (or 8500205151 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13311321213222 its reverse (22231212311331), we get a palindrome (35542533524553).

The spelling of 13311321213222 in words is "thirteen trillion, three hundred eleven billion, three hundred twenty-one million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 8500205117 17000410234 25500615351 51001230702 76501846053 153003692106 229505538159 246505948393 459011076318 493011896786 739517845179 1479035690358 2218553535537 4437107071074 6655660606611 13311321213222