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21330002100 = 22352116463637
BaseRepresentation
bin10011110111010111…
…100000000010110100
32001001112011101010210
4103313113200002310
5322140440031400
613444315545420
71353402012021
oct236727400264
961045141123
1021330002100
119056259310
12417345b270
13201c0b8824
141064bb6548
1584c8d5950
hex4f75e00b4

21330002100 has 72 divisors (see below), whose sum is σ = 67325253408. Its totient is φ = 5170908800.

The previous prime is 21330002093. The next prime is 21330002143. The reversal of 21330002100 is 120003312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 3228519 + ... + 3235118.

It is an arithmetic number, because the mean of its divisors is an integer number (935072964).

Almost surely, 221330002100 is an apocalyptic number.

21330002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330002100 is an abundant number, since it is smaller than the sum of its proper divisors (45995251308).

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

21330002100 is a wasteful number, since it uses less digits than its factorization.

21330002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463665 (or 6463658 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21330002100 its reverse (120003312), we get a palindrome (21450005412).

The spelling of 21330002100 in words is "twenty-one billion, three hundred thirty million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6463637 12927274 19390911 25854548 32318185 38781822 64636370 71100007 77563644 96954555 129272740 142200014 161590925 193909110 213300021 284400028 323181850 355500035 387818220 426600042 484772775 646363700 711000070 853200084 969545550 1066500105 1422000140 1777500175 1939091100 2133000210 3555000350 4266000420 5332500525 7110000700 10665001050 21330002100