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21301322100 = 2235271004407
BaseRepresentation
bin10011110101101010…
…000110000101110100
32000222112012021120120
4103311222012011310
5322111114301400
613441413131540
71352603151612
oct236552060564
960875167516
1021301322100
11904104a633
124165929bb0
132016186606
14106106c6b2
1584a11cca0
hex4f5a86174

21301322100 has 36 divisors (see below), whose sum is σ = 61631826144. Its totient is φ = 5680352480.

The previous prime is 21301322089. The next prime is 21301322101. The reversal of 21301322100 is 122310312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21301322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301322101) by changing a digit.

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, 35501904 + ... + 35502503.

Almost surely, 221301322100 is an apocalyptic number.

21301322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21301322100 is an abundant number, since it is smaller than the sum of its proper divisors (40330504044).

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

21301322100 is a wasteful number, since it uses less digits than its factorization.

21301322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71004424 (or 71004417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21301322100 its reverse (122310312), we get a palindrome (21423632412).

The spelling of 21301322100 in words is "twenty-one billion, three hundred one million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 71004407 142008814 213013221 284017628 355022035 426026442 710044070 852052884 1065066105 1420088140 1775110175 2130132210 3550220350 4260264420 5325330525 7100440700 10650661050 21301322100