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22434020401131 = 32196911116117011
BaseRepresentation
bin1010001100111010100111…
…10100010001111111101011
32221102200010110021011112100
411012131103310101333223
510420024333210314011
6115414014030344443
74503542640042633
oct506352364217753
987380113234470
1022434020401131
11716a23a732109
122623a4405b123
13c69699463ac1
14577b5325d6c3
1528d8612dad56
hex146753d11feb

22434020401131 has 48 divisors (see below), whose sum is σ = 34164638884480. Its totient is φ = 14146250832000.

The previous prime is 22434020401127. The next prime is 22434020401171. The reversal of 22434020401131 is 13110402043422.

22434020401131 is a `hidden beast` number, since 2 + 2 + 4 + 340 + 204 + 0 + 113 + 1 = 666.

It is not a de Polignac number, because 22434020401131 - 22 = 22434020401127 is a prime.

It is a super-2 number, since 2×224340204011312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22434020401095 and 22434020401104.

It is not an unprimeable number, because it can be changed into a prime (22434020401171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318786416 + ... + 1318803426.

Almost surely, 222434020401131 is an apocalyptic number.

22434020401131 is a deficient number, since it is larger than the sum of its proper divisors (11730618483349).

22434020401131 is a wasteful number, since it uses less digits than its factorization.

22434020401131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28888 (or 28885 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22434020401131 its reverse (13110402043422), we get a palindrome (35544422444553).

The spelling of 22434020401131 in words is "twenty-two trillion, four hundred thirty-four billion, twenty million, four hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 19 57 171 691 2073 6219 11161 13129 17011 33483 39387 51033 100449 118161 153099 212059 323209 636177 969627 1908531 2908881 7712251 11754601 23136753 35263803 69410259 105791409 146532769 189859771 223337419 439598307 569579313 670012257 1318794921 1708737939 2010036771 3607335649 10822006947 32466020841 131193101761 393579305283 1180737915849 2492668933459 7478006800377 22434020401131