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20020202112120 = 23357129403184181
BaseRepresentation
bin1001000110101010100010…
…00010010000010001111000
32121212220122022022010121120
410203111101002100101320
510111002333220041440
6110325053123305240
74134261162110640
oct443252102202170
977786568263546
1020020202112120
11641957a191971
1222b407121b220
13b22b87805132
144d2da9315520
1524ab88726dd0
hex123551090478

20020202112120 has 128 divisors (see below), whose sum is σ = 68641596080640. Its totient is φ = 4575985989120.

The previous prime is 20020202112103. The next prime is 20020202112143. The reversal of 20020202112120 is 2121120202002.

It is a super-2 number, since 2×200202021121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20020202112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108606430 + ... + 108790610.

It is an arithmetic number, because the mean of its divisors is an integer number (536262469380).

Almost surely, 220020202112120 is an apocalyptic number.

20020202112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020202112120 is an abundant number, since it is smaller than the sum of its proper divisors (48621393968520).

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

20020202112120 is a wasteful number, since it uses less digits than its factorization.

20020202112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313605 (or 313601 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20020202112120 its reverse (2121120202002), we get a palindrome (22141322314122).

The spelling of 20020202112120 in words is "twenty trillion, twenty billion, two hundred two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 129403 184181 258806 368362 388209 517612 552543 647015 736724 776418 905821 920905 1035224 1105086 1289267 1294030 1473448 1552836 1811642 1841810 1941045 2210172 2578534 2588060 2717463 2762715 3105672 3623284 3683620 3867801 3882090 4420344 4529105 5157068 5176120 5434926 5525430 6446335 7246568 7367240 7735602 7764180 9058210 10314136 10869852 11050860 12892670 13587315 15471204 15528360 18116420 19339005 21739704 22101720 25785340 27174630 30942408 36232840 38678010 51570680 54349260 77356020 108698520 154712040 23833573943 47667147886 71500721829 95334295772 119167869715 143001443658 166835017601 190668591544 238335739430 286002887316 333670035202 357503609145 476671478860 500505052803 572005774632 667340070404 715007218290 834175088005 953342957720 1001010105606 1334680140808 1430014436580 1668350176010 2002020211212 2502525264015 2860028873160 3336700352020 4004040422424 5005050528030 6673400704040 10010101056060 20020202112120