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200022022120100 = 225213959714328533
BaseRepresentation
bin101101011110101101000001…
…100100110110001010100100
3222020012220210122010200010012
4231132231001210312022210
5202204130100130320400
61545224503131545352
760063054113252345
oct5536550144661244
9866186718120105
10200022022120100
1158807954a18104
121a5257365bb258
13877bcc388728b
1437571906c20cc
15181d0725dbd35
hexb5eb419362a4

200022022120100 has 36 divisors (see below), whose sum is σ = 434050927585044. Its totient is φ = 80008230122880.

The previous prime is 200022022120031. The next prime is 200022022120159. The reversal of 200022022120100 is 1021220220002.

It can be written as a sum of positive squares in 6 ways, for example, as 20690071265956 + 179331950854144 = 4548634^2 + 13391488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6795434 + ... + 21123966.

Almost surely, 2200022022120100 is an apocalyptic number.

200022022120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022022120100 is an abundant number, since it is smaller than the sum of its proper divisors (234028905464944).

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

200022022120100 is a wasteful number, since it uses less digits than its factorization.

200022022120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14468144 (or 14468137 counting only the distinct ones).

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

Adding to 200022022120100 its reverse (1021220220002), we get a palindrome (201043242340102).

The spelling of 200022022120100 in words is "two hundred trillion, twenty-two billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139597 279194 558388 697985 1395970 2791940 3489925 6979850 13959700 14328533 28657066 57314132 71642665 143285330 286570660 358213325 716426650 1432853300 2000220221201 4000440442402 8000880884804 10001101106005 20002202212010 40004404424020 50005505530025 100011011060050 200022022120100