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20020135122 = 234132731249
BaseRepresentation
bin10010101001010010…
…110000010011010010
31220200020102020110000
4102221102300103102
5312000123310442
613110324550430
71306055224611
oct225122602322
956606366400
1020020135122
118543931919
123a68852416
131b70907700
14d7cc47878
157c28e6d4c
hex4a94b04d2

20020135122 has 60 divisors (see below), whose sum is σ = 48576206250. Its totient is φ = 6160033152.

The previous prime is 20020135117. The next prime is 20020135133. The reversal of 20020135122 is 22153102002.

It can be written as a sum of positive squares in 3 ways, for example, as 10235166561 + 9784968561 = 101169^2 + 98919^2 .

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 = 20020135095 and 20020135104.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 338247 + ... + 393002.

Almost surely, 220020135122 is an apocalyptic number.

20020135122 is an abundant number, since it is smaller than the sum of its proper divisors (28556071128).

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

20020135122 is a wasteful number, since it uses less digits than its factorization.

20020135122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731289 (or 731267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20020135122 its reverse (22153102002), we get a palindrome (42173237124).

The spelling of 20020135122 in words is "twenty billion, twenty million, one hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378 731249 1462498 2193747 4387494 6581241 9506237 13162482 19012474 19743723 28518711 39487446 57037422 59231169 85556133 118462338 123581081 171112266 247162162 256668399 370743243 513336798 741486486 770005197 1112229729 1540010394 2224459458 3336689187 6673378374 10010067561 20020135122