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111100221022122 = 23271220673939497
BaseRepresentation
bin11001010000101110001001…
…001101010101111110101010
3112120101002002102111122012100
4121100232021031111332222
5104030231223040201442
61032142423102354230
732254504022065503
oct3120561115257652
9476332072448170
10111100221022122
11324443804323a2
1210563b7328b976
1349cb923ab4447
141d613ca8ddbaa
15cc9e897c184c
hex650b89355faa

111100221022122 has 48 divisors (see below), whose sum is σ = 244118651954112. Its totient is φ = 36510145869120.

The previous prime is 111100221022111. The next prime is 111100221022123. The reversal of 111100221022122 is 221220122001111.

111100221022122 is a `hidden beast` number, since 111 + 100 + 2 + 210 + 221 + 22 = 666.

It is a super-2 number, since 2×1111002210221222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111100221022095 and 111100221022104.

It is not an unprimeable number, because it can be changed into a prime (111100221022123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26231878 + ... + 30171374.

It is an arithmetic number, because the mean of its divisors is an integer number (5085805249044).

Almost surely, 2111100221022122 is an apocalyptic number.

111100221022122 is an abundant number, since it is smaller than the sum of its proper divisors (133018430931990).

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

111100221022122 is a wasteful number, since it uses less digits than its factorization.

111100221022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961643 (or 3961640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111100221022122 its reverse (221220122001111), we get a palindrome (332320343023233).

The spelling of 111100221022122 in words is "one hundred eleven trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 22067 44134 66201 132402 198603 397206 1566757 3133514 3939497 4700271 7878994 9400542 11818491 14100813 23636982 28201626 35455473 70910946 279704287 559408574 839112861 1678225722 2517338583 5034677166 86932880299 173865760598 260798640897 521597281794 782395922691 1564791845382 6172234501229 12344469002458 18516703503687 37033407007374 55550110511061 111100221022122