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21032442100 = 2252972168293
BaseRepresentation
bin10011100101101000…
…011001100011110100
32000021210020202120001
4103211220121203310
5321033301121400
613355010121044
71343126544115
oct234550314364
960253222501
1021032442100
118a132a105a
1240ab880184
131ca2563517
14103747a20c
15831709a6a
hex4e5a198f4

21032442100 has 36 divisors (see below), whose sum is σ = 46110940204. Its totient is φ = 8326241280.

The previous prime is 21032442077. The next prime is 21032442131. The reversal of 21032442100 is 124423012.

It can be written as a sum of positive squares in 6 ways, for example, as 3664365156 + 17368076944 = 60534^2 + 131788^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1074447 + ... + 1093846.

Almost surely, 221032442100 is an apocalyptic number.

21032442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21032442100 is an abundant number, since it is smaller than the sum of its proper divisors (25078498104).

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

21032442100 is a wasteful number, since it uses less digits than its factorization.

21032442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168404 (or 2168397 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21032442100 its reverse (124423012), we get a palindrome (21156865112).

The spelling of 21032442100 in words is "twenty-one billion, thirty-two million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 2168293 4336586 8673172 10841465 21682930 43365860 54207325 108414650 210324421 216829300 420648842 841297684 1051622105 2103244210 4206488420 5258110525 10516221050 21032442100