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200101222120100 = 22527325271878833
BaseRepresentation
bin101101011111110110110010…
…010000110111101010100100
3222020111111020012220112102112
4231133312302100313222210
5202211424300330320400
61545325122110500152
760101556552200420
oct5537666220675244
9866444205815375
10200101222120100
11588384a7293364
121a538b5a504658
1387866060391c2
14375ad450d1b80
15182015a733835
hexb5fdb2437aa4

200101222120100 has 72 divisors (see below), whose sum is σ = 496253121184128. Its totient is φ = 68605844313600.

The previous prime is 200101222120039. The next prime is 200101222120103. The reversal of 200101222120100 is 1021222101002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (200101222120103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227250284 + ... + 228129116.

Almost surely, 2200101222120100 is an apocalyptic number.

200101222120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101222120100 is an abundant number, since it is smaller than the sum of its proper divisors (296151899064028).

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

200101222120100 is a wasteful number, since it uses less digits than its factorization.

200101222120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204125 (or 1204118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200101222120100 its reverse (1021222101002), we get a palindrome (201122444221102).

The spelling of 200101222120100 in words is "two hundred trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 325271 650542 878833 1301084 1626355 1757666 2276897 3252710 3515332 4394165 4553794 6151831 6505420 8131775 8788330 9107588 11384485 12303662 16263550 17576660 21970825 22768970 24607324 30759155 32527100 43941650 45537940 56922425 61518310 87883300 113844850 123036620 153795775 227689700 307591550 615183100 285858888743 571717777486 1143435554972 1429294443715 2001012221201 2858588887430 4002024442402 5717177774860 7146472218575 8004048884804 10005061106005 14292944437150 20010122212010 28585888874300 40020244424020 50025305530025 100050611060050 200101222120100