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22113100131122 = 27211132121379171
BaseRepresentation
bin1010000011100100110110…
…11110100110101100110010
32220021222202222011022102002
411001302123132212230302
510344300112113143442
6115010341251254002
74441422143542400
oct501623336465462
986258688138362
1022113100131122
11705612759a370
1225918005aa302
13c453443b7900
145663cb920470
1528532c1cd732
hex141c9b7a6b32

22113100131122 has 72 divisors (see below), whose sum is σ = 45579821152752. Its totient is φ = 7952763218400.

The previous prime is 22113100131121. The next prime is 22113100131179.

22113100131122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22113100131094 and 22113100131103.

It is not an unprimeable number, because it can be changed into a prime (22113100131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60507404 + ... + 60871767.

It is an arithmetic number, because the mean of its divisors is an integer number (633053071566).

Almost surely, 222113100131122 is an apocalyptic number.

22113100131122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22113100131122 is an abundant number, since it is smaller than the sum of its proper divisors (23466721021630).

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

22113100131122 is a wasteful number, since it uses less digits than its factorization.

22113100131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121379224 (or 121379204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 22113100 and 131122, that added together give a palindrome (22244222).

The spelling of 22113100131122 in words is "twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 169 182 286 338 539 637 1001 1078 1183 1274 1859 2002 2366 3718 7007 8281 13013 14014 16562 26026 91091 182182 121379171 242758342 849654197 1335170881 1577929223 1699308394 2670341762 3155858446 5947579379 9346196167 11045504561 11895158758 17357221453 18692392334 20513079899 22091009122 34714442906 41026159798 65423373169 77318531927 121500550171 130846746338 143591559293 154637063854 225643878889 243001100342 287183118586 451287757778 850503851197 1005140915051 1579507152223 1701007702394 2010281830102 3159014304446 11056550065561 22113100131122