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21021220100 = 2252210212201
BaseRepresentation
bin10011100100111101…
…100101110100000100
32000021000010121212102
4103210331211310010
5321022413020400
613353525411232
71342632264656
oct234475456404
960230117772
1021021220100
118a07a26881
1240a7b69b18
131ca013469a
141035b986d6
1583073e9d5
hex4e4f65d04

21021220100 has 18 divisors (see below), whose sum is σ = 45616047834. Its totient is φ = 8408488000.

The previous prime is 21021220081. The next prime is 21021220117. The reversal of 21021220100 is 102212012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2544798916 + 18476421184 = 50446^2 + 135928^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105106001 + ... + 105106200.

Almost surely, 221021220100 is an apocalyptic number.

21021220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021220100 is an abundant number, since it is smaller than the sum of its proper divisors (24594827734).

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

21021220100 is a wasteful number, since it uses less digits than its factorization.

21021220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210212215 (or 210212208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21021220100 its reverse (102212012), we get a palindrome (21123432112).

The spelling of 21021220100 in words is "twenty-one billion, twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 210212201 420424402 840848804 1051061005 2102122010 4204244020 5255305025 10510610050 21021220100