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21022110100 = 2252210221101
BaseRepresentation
bin10011100101000000…
…111111000110010100
32000021001210211201101
4103211000333012110
5321023130010400
613354000435444
71342642662505
oct234500770624
960231724641
1021022110100
118a08484512
1240a8318b84
131ca0386804
141035d4abac
1583086856a
hex4e503f194

21022110100 has 18 divisors (see below), whose sum is σ = 45617979134. Its totient is φ = 8408844000.

The previous prime is 21022110091. The next prime is 21022110107. The reversal of 21022110100 is 101122012.

It can be written as a sum of positive squares in 3 ways, for example, as 7554043396 + 13468066704 = 86914^2 + 116052^2 .

It is a super-2 number, since 2×210221101002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022110107) 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, 105110451 + ... + 105110650.

Almost surely, 221022110100 is an apocalyptic number.

21022110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022110100 is an abundant number, since it is smaller than the sum of its proper divisors (24595869034).

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

21022110100 is a wasteful number, since it uses less digits than its factorization.

21022110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210221115 (or 210221108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21022110100 its reverse (101122012), we get a palindrome (21123232112).

The spelling of 21022110100 in words is "twenty-one billion, twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 210221101 420442202 840884404 1051105505 2102211010 4204422020 5255527525 10511055050 21022110100