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13330233120222 = 2341071741441713
BaseRepresentation
bin1100000111111010111111…
…0011110101010111011110
31202012100122212101012020000
43001332233303311113132
53221400304134321342
644203454034235130
72544035413662504
oct301765763652736
952170585335200
1013330233120222
11427a358094767
1215b35a4125aa6
13759060261675
14341288536674
15181b3b16c44c
hexc1fafcf55de

13330233120222 has 80 divisors (see below), whose sum is σ = 30166136752752. Its totient is φ = 4399345509120.

The previous prime is 13330233120179. The next prime is 13330233120263. The reversal of 13330233120222 is 22202133203331.

13330233120222 is a `hidden beast` number, since 1 + 3 + 3 + 302 + 331 + 2 + 0 + 2 + 22 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29957638 + ... + 30399350.

Almost surely, 213330233120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330233120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083068376376).

13330233120222 is an abundant number, since it is smaller than the sum of its proper divisors (16835903632530).

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

13330233120222 is a wasteful number, since it uses less digits than its factorization.

13330233120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443575 (or 443566 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13330233120222 its reverse (22202133203331), we get a palindrome (35532366323553).

The spelling of 13330233120222 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty-three million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1741 1926 2889 3482 5223 5778 8667 10446 15669 17334 31338 47007 94014 141021 186287 282042 372574 441713 558861 883426 1117722 1325139 1676583 2650278 3353166 3975417 5029749 7950834 10059498 11926251 15089247 23852502 30178494 35778753 47263291 71557506 94526582 141789873 283579746 425369619 769022333 850739238 1276108857 1538044666 2307066999 2552217714 3828326571 4614133998 6921200997 7656653142 13842401994 20763602991 41527205982 62290808973 82285389631 124581617946 164570779262 246856168893 493712337786 740568506679 1481137013358 2221705520037 4443411040074 6665116560111 13330233120222