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221020100220200 = 23521105100501101
BaseRepresentation
bin110010010000010001000000…
…100011111101010100101000
31001222120022111210121222020012
4302100101000203331110220
5212432143131124021300
62102023122103351052
764361114060212511
oct6220210043752450
91058508453558205
10221020100220200
1164473109657206
1220957214452488
13964314bc05b68
143c81603a1ba08
151a84390102435
hexc904408fd528

221020100220200 has 24 divisors (see below), whose sum is σ = 513871733012430. Its totient is φ = 88408040088000.

The previous prime is 221020100220197. The next prime is 221020100220203. The reversal of 221020100220200 is 2022001020122.

It is an interprime number because it is at equal distance from previous prime (221020100220197) and next prime (221020100220203).

It can be written as a sum of positive squares in 3 ways, for example, as 126308782283524 + 94711317936676 = 11238718^2 + 9731974^2 .

It is not an unprimeable number, because it can be changed into a prime (221020100220203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552550250351 + ... + 552550250750.

Almost surely, 2221020100220200 is an apocalyptic number.

221020100220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020100220200 is an abundant number, since it is smaller than the sum of its proper divisors (292851632792230).

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

221020100220200 is a wasteful number, since it uses less digits than its factorization.

221020100220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105100501117 (or 1105100501108 counting only the distinct ones).

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

Adding to 221020100220200 its reverse (2022001020122), we get a palindrome (223042101240322).

The spelling of 221020100220200 in words is "two hundred twenty-one trillion, twenty billion, one hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1105100501101 2210201002202 4420402004404 5525502505505 8840804008808 11051005011010 22102010022020 27627512527525 44204020044040 55255025055050 110510050110100 221020100220200