Search a number
-
+
101111122000122 = 23134334423676861
BaseRepresentation
bin10110111111010111000100…
…100000100111100011111010
3111021000010110221101102221220
4112333113010200213203322
5101223101034213000442
6555013450323212510
730204015601254153
oct2677270440474372
9437003427342856
10101111122000122
112a242a93453503
12b41001a217136
1344559791c2c80
141ad7b3946692a
15ba51eb8aceec
hex5bf5c48278fa

101111122000122 has 64 divisors (see below), whose sum is σ = 218330426125056. Its totient is φ = 31032200770560.

The previous prime is 101111122000043. The next prime is 101111122000253. The reversal of 101111122000122 is 221000221111101.

It is a happy number.

It is a super-2 number, since 2×1011111220001222 (a number of 29 digits) contains 22 as substring.

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, 149043972 + ... + 149720832.

It is an arithmetic number, because the mean of its divisors is an integer number (3411412908204).

Almost surely, 2101111122000122 is an apocalyptic number.

101111122000122 is an abundant number, since it is smaller than the sum of its proper divisors (117219304124934).

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

101111122000122 is a wasteful number, since it uses less digits than its factorization.

101111122000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681735.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101111122000122 its reverse (221000221111101), we get a palindrome (322111343111223).

The spelling of 101111122000122 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 433 866 1299 2598 4423 5629 8846 11258 13269 16887 26538 33774 57499 114998 172497 344994 676861 1353722 1915159 2030583 3830318 4061166 5745477 8799193 11490954 17598386 24897067 26397579 49794134 52795158 74691201 149382402 293080813 586161626 879242439 1758484878 2993756203 3810050569 5987512406 7620101138 8981268609 11430151707 17962537218 22860303414 38918830639 77837661278 116756491917 233512983834 1296296435899 2592592871798 3888889307697 7777778615394 16851853666687 33703707333374 50555561000061 101111122000122