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200122221100100 = 225213153940170077
BaseRepresentation
bin101101100000001010010101…
…111001100111110001000100
3222020120111102200012020121112
4231200022111321213301010
5202212300302100200400
61545342513523504152
760103232124446435
oct5540122571476104
9866514380166545
10200122221100100
11588463a26a9892
121a54103ab28058
1387885a1684960
14375bd77d3b48c
15182098902d835
hexb60295e67c44

200122221100100 has 36 divisors (see below), whose sum is σ = 467670236696964. Its totient is φ = 73891281636480.

The previous prime is 200122221100033. The next prime is 200122221100111. The reversal of 200122221100100 is 1001122221002.

It can be written as a sum of positive squares in 6 ways, for example, as 78155465751364 + 121966755348736 = 8840558^2 + 11043856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76970083739 + ... + 76970086338.

It is an arithmetic number, because the mean of its divisors is an integer number (12990839908249).

Almost surely, 2200122221100100 is an apocalyptic number.

200122221100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122221100100 is an abundant number, since it is smaller than the sum of its proper divisors (267548015596864).

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

200122221100100 is a wasteful number, since it uses less digits than its factorization.

200122221100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153940170104 (or 153940170097 counting only the distinct ones).

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

Adding to 200122221100100 its reverse (1001122221002), we get a palindrome (201123343321102).

The spelling of 200122221100100 in words is "two hundred trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 153940170077 307880340154 615760680308 769700850385 1539401700770 2001222211001 3078803401540 3848504251925 4002444422002 7697008503850 8004888844004 10006111055005 15394017007700 20012222110010 40024444220020 50030555275025 100061110550050 200122221100100