Search a number
-
+
201022210000122 = 23737405131932343
BaseRepresentation
bin101101101101010000100001…
…011010110100010011111010
3222100202112110110002101112120
4231231100201122310103322
5202322021441230000442
61551312154533222110
760225242522046510
oct5555204132642372
9870675413071476
10201022210000122
11590630499a8045
121a66754b491936
13882240ba55614
14378d753a744b0
1518390b05b64ec
hexb6d4216b44fa

201022210000122 has 64 divisors (see below), whose sum is σ = 472014201575424. Its totient is φ = 55868825563200.

The previous prime is 201022210000111. The next prime is 201022210000141. The reversal of 201022210000122 is 221000012220102.

201022210000122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9670918 + ... + 22261425.

It is an arithmetic number, because the mean of its divisors is an integer number (7375221899616).

Almost surely, 2201022210000122 is an apocalyptic number.

201022210000122 is an abundant number, since it is smaller than the sum of its proper divisors (270991991575302).

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

201022210000122 is a wasteful number, since it uses less digits than its factorization.

201022210000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31936443.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201022210000122 its reverse (221000012220102), we get a palindrome (422022222220224).

It can be divided in two parts, 20102 and 2210000122, that multiplied together give a palindrome (44425422452444).

The spelling of 201022210000122 in words is "two hundred one trillion, twenty-two billion, two hundred ten million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 4051 8102 12153 24306 28357 56714 85071 149887 170142 299774 449661 899322 1049209 2098418 3147627 6295254 31932343 63864686 95797029 191594058 223526401 447052802 670579203 1181496691 1341158406 2362993382 3544490073 7088980146 8270476837 16540953674 24811430511 49622861022 129357921493 258715842986 388073764479 776147528958 905505450451 1811010900902 2716516351353 4786243095241 5433032702706 9572486190482 14358729285723 28717458571446 33503701666687 67007403333374 100511105000061 201022210000122