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200021120202020 = 225132278833838097
BaseRepresentation
bin101101011110101100001011…
…110100010011010100100100
3222020012211110210000111002212
4231132230023310103110210
5202204121223232431040
61545224233432422552
760063022552134515
oct5536541364232444
9866184423014085
10200021120202020
11588075318a5767
121a525524547a58
13877bbaba6b840
1437571069c6a0c
15181d01d331d65
hexb5eb0bd13524

200021120202020 has 96 divisors (see below), whose sum is σ = 454862880920448. Its totient is φ = 73445313779712.

The previous prime is 200021120202019. The next prime is 200021120202031. The reversal of 200021120202020 is 20202021120002.

200021120202020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2000211202020202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200021120201986 and 200021120202004.

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, 50195612 + ... + 54033708.

It is an arithmetic number, because the mean of its divisors is an integer number (4738155009588).

Almost surely, 2200021120202020 is an apocalyptic number.

200021120202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200021120202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227431440460224).

200021120202020 is an abundant number, since it is smaller than the sum of its proper divisors (254841760718428).

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

200021120202020 is a wasteful number, since it uses less digits than its factorization.

200021120202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839229 (or 3839227 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200021120202020 its reverse (20202021120002), we get a palindrome (220223141322022).

The spelling of 200021120202020 in words is "two hundred trillion, twenty-one billion, one hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 227 260 454 883 908 1135 1766 2270 2951 3532 4415 4540 5902 8830 11479 11804 14755 17660 22958 29510 45916 57395 59020 114790 200441 229580 400882 801764 1002205 2004410 2605733 3838097 4008820 5211466 7676194 10422932 13028665 15352388 19190485 26057330 38380970 49895261 52114660 76761940 99790522 199581044 249476305 498952610 871248019 997905220 1742496038 3389039651 3484992076 4356240095 6778079302 8712480190 11326224247 13556158604 16945198255 17424960380 22652448494 33890396510 44057515463 45304896988 56631121235 67780793020 88115030926 113262242470 176230061852 220287577315 226524484940 440575154630 769312000777 881150309260 1538624001554 3077248003108 3846560003885 7693120007770 10001056010101 15386240015540 20002112020202 40004224040404 50005280050505 100010560101010 200021120202020