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22101220111122 = 23210911264638181
BaseRepresentation
bin1010000011001110101110…
…10111111011001100010010
32220020212010000210202200100
411001213113113323030102
510344101244322023442
6115001054345233230
74440521560204515
oct501472727731422
986225100722610
1022101220111122
117051090636519
12258b445a92816
13c441a0070b89
145659c1c14d7c
15284d8425c84c
hex1419d75fb312

22101220111122 has 24 divisors (see below), whose sum is σ = 48325297800780. Its totient is φ = 7299485540640.

The previous prime is 22101220111057. The next prime is 22101220111133. The reversal of 22101220111122 is 22111102210122.

22101220111122 is a `hidden beast` number, since 2 + 210 + 1 + 220 + 111 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21282269319441 + 818950791681 = 4613271^2 + 904959^2 .

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 = 22101220111095 and 22101220111104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5632317129 + ... + 5632321052.

Almost surely, 222101220111122 is an apocalyptic number.

22101220111122 is an abundant number, since it is smaller than the sum of its proper divisors (26224077689658).

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

22101220111122 is a wasteful number, since it uses less digits than its factorization.

22101220111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11264638298 (or 11264638295 counting only the distinct ones).

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

Adding to 22101220111122 its reverse (22111102210122), we get a palindrome (44212322321244).

The spelling of 22101220111122 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 109 218 327 654 981 1962 11264638181 22529276362 33793914543 67587829086 101381743629 202763487258 1227845561729 2455691123458 3683536685187 7367073370374 11050610055561 22101220111122