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201220221100100 = 225212291637267869
BaseRepresentation
bin101101110000001000111011…
…110011001110000001000100
3222101110110120011220111010012
4231300020323303032001010
5202333243003100200400
61551543143214245352
760245452442452256
oct5560107363160104
9871413504814105
10201220221100100
115912a020013214
121a6999b0ab6858
138837ca6cb5877
143799179949cd6
15183e2ee11bd35
hexb7023bcce044

201220221100100 has 36 divisors (see below), whose sum is σ = 437003167181700. Its totient is φ = 80422597676160.

The previous prime is 201220221100009. The next prime is 201220221100127. The reversal of 201220221100100 is 1001122022102.

It can be written as a sum of positive squares in 6 ways, for example, as 7521021032704 + 193699200067396 = 2742448^2 + 13917586^2 .

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, 818511035 + ... + 818756834.

Almost surely, 2201220221100100 is an apocalyptic number.

201220221100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220221100100 is an abundant number, since it is smaller than the sum of its proper divisors (235782946081600).

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

201220221100100 is a wasteful number, since it uses less digits than its factorization.

201220221100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637269112 (or 1637269105 counting only the distinct ones).

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

Adding to 201220221100100 its reverse (1001122022102), we get a palindrome (202221343122202).

The spelling of 201220221100100 in words is "two hundred one trillion, two hundred twenty billion, two hundred twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1229 2458 4916 6145 12290 24580 30725 61450 122900 1637267869 3274535738 6549071476 8186339345 16372678690 32745357380 40931696725 81863393450 163726786900 2012202211001 4024404422002 8048808844004 10061011055005 20122022110010 40244044220020 50305055275025 100610110550050 201220221100100