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202012200220200 = 233521093088871563
BaseRepresentation
bin101101111011101010100001…
…011011110011011000101000
3222111021011210120100022100220
4231323222201123303120220
5202434231441224021300
61553351042411330040
760356620433061636
oct5573524133633050
9874234716308326
10202012200220200
1159404990639147
121a7a7399150920
1388948902bb356
1437c562a930356
151854c0318bda0
hexb7baa16f3628

202012200220200 has 96 divisors (see below), whose sum is σ = 631983121994400. Its totient is φ = 53375700591360.

The previous prime is 202012200220153. The next prime is 202012200220249. The reversal of 202012200220200 is 2022002210202.

202012200220200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 202012200220200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1544370382 + ... + 1544501181.

It is an arithmetic number, because the mean of its divisors is an integer number (6583157520775).

Almost surely, 2202012200220200 is an apocalyptic number.

202012200220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012200220200 is an abundant number, since it is smaller than the sum of its proper divisors (429970921774200).

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

202012200220200 is a wasteful number, since it uses less digits than its factorization.

202012200220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088871691 (or 3088871682 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202012200220200 its reverse (2022002210202), we get a palindrome (204034202430402).

The spelling of 202012200220200 in words is "two hundred two trillion, twelve billion, two hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 150 200 218 300 327 436 545 600 654 872 1090 1308 1635 2180 2616 2725 3270 4360 5450 6540 8175 10900 13080 16350 21800 32700 65400 3088871563 6177743126 9266614689 12355486252 15444357815 18533229378 24710972504 30888715630 37066458756 46333073445 61777431260 74132917512 77221789075 92666146890 123554862520 154443578150 185332293780 231665367225 308887156300 336687000367 370664587560 463330734450 617774312600 673374000734 926661468900 1010061001101 1346748001468 1683435001835 1853322937800 2020122002202 2693496002936 3366870003670 4040244004404 5050305005505 6733740007340 8080488008808 8417175009175 10100610011010 13467480014680 16834350018350 20201220022020 25251525027525 33668700036700 40402440044040 50503050055050 67337400073400 101006100110100 202012200220200