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22102000000122 = 23717140443220411
BaseRepresentation
bin1010000011010000001011…
…10110111101110001111010
32220020221010101022020021010
411001220011312331301322
510344104344000000442
6115001304005054350
74440550110150420
oct501500566756172
986227111266233
1022102000000122
117051450890689
12258b6230b73b6
13c44295801c63
14565a57627110
15284dcc960b9c
hex141a05dbdc7a

22102000000122 has 64 divisors (see below), whose sum is σ = 53491178179584. Its totient is φ = 5943325674240.

The previous prime is 22102000000121. The next prime is 22102000000123. The reversal of 22102000000122 is 22100000020122.

It is an interprime number because it is at equal distance from previous prime (22102000000121) and next prime (22102000000123).

It is a junction number, because it is equal to n+sod(n) for n = 22102000000098 and 22102000000107.

It is not an unprimeable number, because it can be changed into a prime (22102000000121) 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 31 ways as a sum of consecutive naturals, for example, 100166097 + ... + 100386507.

It is an arithmetic number, because the mean of its divisors is an integer number (835799659056).

Almost surely, 222102000000122 is an apocalyptic number.

22102000000122 is an abundant number, since it is smaller than the sum of its proper divisors (31389178179462).

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

22102000000122 is a wasteful number, since it uses less digits than its factorization.

22102000000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360883.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22102000000122 its reverse (22100000020122), we get a palindrome (44202000020244).

The spelling of 22102000000122 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 140443 220411 280886 421329 440822 661233 842658 983101 1322466 1542877 1966202 2387531 2949303 3085754 3746987 4628631 4775062 5898606 7162593 7493974 9257262 11240961 14325186 16712717 22481922 26228909 33425434 50138151 52457818 78686727 100276302 157373454 30955182073 61910364146 92865546219 185731092438 216686274511 433372549022 526238095241 650058823533 1052476190482 1300117647066 1578714285723 3157428571446 3683666666687 7367333333374 11051000000061 22102000000122