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22113631122 = 2311237823231
BaseRepresentation
bin10100100110000100…
…110011101110010010
32010002010200212001220
4110212010303232102
5330242042143442
614054151505510
71411665522522
oct244604635622
963063625056
1022113631122
119418628400
124351988296
13211555903b
1410dacbd682
158965c6eec
hex526133b92

22113631122 has 48 divisors (see below), whose sum is σ = 49927374336. Its totient is φ = 6519981600.

The previous prime is 22113631121. The next prime is 22113631139.

22113631122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22113631092 and 22113631101.

It is not an unprimeable number, because it can be changed into a prime (22113631121) 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, 384754 + ... + 438477.

It is an arithmetic number, because the mean of its divisors is an integer number (1040153632).

Almost surely, 222113631122 is an apocalyptic number.

22113631122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22113631122 is an abundant number, since it is smaller than the sum of its proper divisors (27813743214).

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

22113631122 is a wasteful number, since it uses less digits than its factorization.

22113631122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823295 (or 823284 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The spelling of 22113631122 in words is "twenty-two billion, one hundred thirteen million, six hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8954 13431 26862 823231 1646462 2469693 4939386 9055541 18111082 27166623 30459547 54333246 60919094 91378641 99610951 182757282 199221902 298832853 335055017 597665706 670110034 1005165051 2010330102 3685605187 7371210374 11056815561 22113631122