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201001020220200 = 23352335001700367
BaseRepresentation
bin101101101100111100110010…
…011010001110001100101000
3222100200111202200210001001210
4231230330302122032030220
5202321200042134021300
61551254332142513120
760223562441641464
oct5554746232161450
9870614680701053
10201001020220200
1159055065912832
121a663416b957a0
138820412a242c5
14378c70375d4a4
15183877017d050
hexb6cf3268e328

201001020220200 has 48 divisors (see below), whose sum is σ = 623103162684480. Its totient is φ = 53600272058560.

The previous prime is 201001020220193. The next prime is 201001020220207. The reversal of 201001020220200 is 2022020100102.

201001020220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201001020220193) and next prime (201001020220207).

It is a super-2 number, since 2×2010010202202002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201001020220207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167500849584 + ... + 167500850783.

It is an arithmetic number, because the mean of its divisors is an integer number (12981315889260).

Almost surely, 2201001020220200 is an apocalyptic number.

201001020220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001020220200 is an abundant number, since it is smaller than the sum of its proper divisors (422102142464280).

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

201001020220200 is a wasteful number, since it uses less digits than its factorization.

201001020220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335001700386 (or 335001700377 counting only the distinct ones).

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

Adding to 201001020220200 its reverse (2022020100102), we get a palindrome (203023040320302).

The spelling of 201001020220200 in words is "two hundred one trillion, one billion, twenty 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 75 100 120 150 200 300 600 335001700367 670003400734 1005005101101 1340006801468 1675008501835 2010010202202 2680013602936 3350017003670 4020020404404 5025025505505 6700034007340 8040040808808 8375042509175 10050051011010 13400068014680 16750085018350 20100102022020 25125127527525 33500170036700 40200204044040 50250255055050 67000340073400 100500510110100 201001020220200