Search a number
-
+
13322100123222 = 23111003720110591
BaseRepresentation
bin1100000111011100101100…
…0010111010011001010110
31202011120200001201010201220
43001313023002322121112
53221232130112420342
644200031024031210
72543330026440132
oct301671302723126
952146601633656
1013322100123222
114276964238740
1215b1ab4462506
137583652c38c7
14340b1632c3c2
151818121505ec
hexc1dcb0ba656

13322100123222 has 32 divisors (see below), whose sum is σ = 29069297639424. Its totient is φ = 4036597624800.

The previous prime is 13322100123193. The next prime is 13322100123223. The reversal of 13322100123222 is 22232100122331.

13322100123222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133221001232222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13322100123192 and 13322100123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322100123223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9392854 + ... + 10717737.

It is an arithmetic number, because the mean of its divisors is an integer number (908415551232).

Almost surely, 213322100123222 is an apocalyptic number.

13322100123222 is an abundant number, since it is smaller than the sum of its proper divisors (15747197516202).

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

13322100123222 is a wasteful number, since it uses less digits than its factorization.

13322100123222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20120644.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13322100123222 its reverse (22232100122331), we get a palindrome (35554200245553).

The spelling of 13322100123222 in words is "thirteen trillion, three hundred twenty-two billion, one hundred million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 10037 20074 30111 60222 110407 220814 331221 662442 20110591 40221182 60331773 120663546 221216501 442433002 663649503 1327299006 201850001867 403700003734 605550005601 1211100011202 2220350020537 4440700041074 6661050061611 13322100123222