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332201331100122 = 231123532381954421
BaseRepresentation
bin100101110001000101010011…
…0010101011000100111011010
31121120020010200221110202220020
41023202022212111120213122
5322020241311230200442
63134311103520411310
7126654516445611621
oct11342124625304732
91546203627422806
10332201331100122
119693887aa31800
1231312a15776b36
13113495b31011b3
145c068b744c6b8
1528614bb86e9ec
hex12e22a65589da

332201331100122 has 96 divisors (see below), whose sum is σ = 732406861287360. Its totient is φ = 100375835366400.

The previous prime is 332201331100117. The next prime is 332201331100139. The reversal of 332201331100122 is 221001133102233.

It is a super-2 number, since 2×3322013311001222 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332201331100092 and 332201331100101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6104258472 + ... + 6104312892.

It is an arithmetic number, because the mean of its divisors is an integer number (7629238138410).

Almost surely, 2332201331100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332201331100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366203430643680).

332201331100122 is an abundant number, since it is smaller than the sum of its proper divisors (400205530187238).

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

332201331100122 is a wasteful number, since it uses less digits than its factorization.

332201331100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78620 (or 78609 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 332201331100122 its reverse (221001133102233), we get a palindrome (553202464202355).

The spelling of 332201331100122 in words is "three hundred thirty-two trillion, two hundred one billion, three hundred thirty-one million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 353 363 706 726 1059 2118 3883 7766 11649 23298 23819 42713 47638 54421 71457 85426 108842 128139 142914 163263 256278 262009 326526 524018 598631 786027 1197262 1572054 1795893 2882099 3591786 5764198 6584941 8408107 8646297 13169882 16816214 17292594 19210613 19754823 25224321 38421226 39509646 50448642 57631839 92489177 115263678 184978354 211316743 277467531 422633486 554935062 633950229 1017380947 1267900458 1296253799 2034761894 2324484173 2592507598 3052142841 3888761397 4648968346 6104285682 6973452519 7777522794 13946905038 14258791789 28517583578 42776375367 85552750734 156846709679 313693419358 457577591047 470540129037 915155182094 941080258074 1372732773141 2745465546282 5033353501517 10066707003034 15100060504551 30200121009102 55366888516687 110733777033374 166100665550061 332201331100122