Search a number
-
+
22102122210012 = 223213244119347299
BaseRepresentation
bin1010000011010000011010…
…01001001010001011011100
32220020221102220021010201100
411001220031021022023130
510344110121241210022
6115001324052313100
74440553123004445
oct501501511121334
986227386233640
1022102122210012
117051503871799
12258b658012790
13c442b4c209c0
14565a6995a2cc
15284dd85511ac
hex141a0d24a2dc

22102122210012 has 72 divisors (see below), whose sum is σ = 60191539808400. Its totient is φ = 6797866625280.

The previous prime is 22102122209987. The next prime is 22102122210041. The reversal of 22102122210012 is 21001222120122.

It is a happy number.

22102122210012 is a `hidden beast` number, since 221 + 0 + 212 + 221 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8531262 + ... + 10816037.

It is an arithmetic number, because the mean of its divisors is an integer number (835993608450).

Almost surely, 222102122210012 is an apocalyptic number.

It is an amenable number.

22102122210012 is an abundant number, since it is smaller than the sum of its proper divisors (38089417598388).

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

22102122210012 is a wasteful number, since it uses less digits than its factorization.

22102122210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19349763 (or 19349758 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102122210012 its reverse (21001222120122), we get a palindrome (43103344330134).

The spelling of 22102122210012 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2441 4882 7323 9764 14646 21969 29292 31733 43938 63466 87876 95199 126932 190398 285597 380796 571194 1142388 19347299 38694598 58041897 77389196 116083794 174125691 232167588 251514887 348251382 503029774 696502764 754544661 1006059548 1509089322 2263633983 3018178644 4527267966 9054535932 47226756859 94453513718 141680270577 188907027436 283360541154 425040811731 566721082308 613947839167 850081623462 1227895678334 1700163246924 1841843517501 2455791356668 3683687035002 5525530552503 7367374070004 11051061105006 22102122210012