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202221011020100 = 22524793421909057
BaseRepresentation
bin101101111110101100111111…
…100001110010100101000100
3222112000010202221201000010112
4231332230333201302211010
5203001142112310120400
61554031014443412152
760410662111433132
oct5576547741624504
9875003687630115
10202221011020100
11594854a3914756
121a81b953524058
1388ab489b15197
1437d1798c56752
15185a374db8835
hexb7eb3f872944

202221011020100 has 36 divisors (see below), whose sum is σ = 438911149219284. Its totient is φ = 80871527854080.

The previous prime is 202221011020081. The next prime is 202221011020169. The reversal of 202221011020100 is 1020110122202.

It can be written as a sum of positive squares in 6 ways, for example, as 20203298956864 + 182017712063236 = 4494808^2 + 13491394^2 .

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, 210475229 + ... + 211433828.

Almost surely, 2202221011020100 is an apocalyptic number.

202221011020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221011020100 is an abundant number, since it is smaller than the sum of its proper divisors (236690138199184).

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

202221011020100 is a wasteful number, since it uses less digits than its factorization.

202221011020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421913864 (or 421913857 counting only the distinct ones).

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

Adding to 202221011020100 its reverse (1020110122202), we get a palindrome (203241121142302).

The spelling of 202221011020100 in words is "two hundred two trillion, two hundred twenty-one billion, eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4793 9586 19172 23965 47930 95860 119825 239650 479300 421909057 843818114 1687636228 2109545285 4219090570 8438181140 10547726425 21095452850 42190905700 2022210110201 4044420220402 8088840440804 10111050551005 20222101102010 40444202204020 50555252755025 101110505510050 202221011020100