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22102000210120 = 23529149127875493
BaseRepresentation
bin1010000011010000001011…
…10111110001000011001000
32220020221010101200220022211
411001220011313301003020
510344104344023210440
6115001304013354504
74440550112013565
oct501500567610310
986227111626284
1022102000210120
117051450a14436
12258b623198a34
13c4429587670c
14565a5767d86c
15284dcc9a2eea
hex141a05df10c8

22102000210120 has 64 divisors (see below), whose sum is σ = 51789575070000. Its totient is φ = 8478656621568.

The previous prime is 22102000210109. The next prime is 22102000210177. The reversal of 22102000210120 is 2101200020122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11062555385764 + 11039444824356 = 3326042^2 + 3322566^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22102000210120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63764907 + ... + 64110586.

Almost surely, 222102000210120 is an apocalyptic number.

22102000210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102000210120 is an abundant number, since it is smaller than the sum of its proper divisors (29687574859880).

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

22102000210120 is a wasteful number, since it uses less digits than its factorization.

22102000210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127875682 (or 127875678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22102000210120 its reverse (2101200020122), we get a palindrome (24203200230242).

It can be divided in two parts, 221020002 and 10120, that added together give a palindrome (221030122).

The spelling of 22102000210120 in words is "twenty-two trillion, one hundred two billion, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 149 232 290 298 580 596 745 1160 1192 1490 2980 4321 5960 8642 17284 21605 34568 43210 86420 172840 127875493 255750986 511501972 639377465 1023003944 1278754930 2557509860 3708389297 5115019720 7416778594 14833557188 18541946485 19053448457 29667114376 37083892970 38106896914 74167785940 76213793828 95267242285 148335571880 152427587656 190534484570 381068969140 552550005253 762137938280 1105100010506 2210200021012 2762750026265 4420400042024 5525500052530 11051000105060 22102000210120