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21256727100 = 22352710122251
BaseRepresentation
bin10011110010111111…
…111110101000111100
32000212102021121201220
4103302333332220330
5322013210231400
613433141233340
71351522125210
oct236277765074
960772247656
1021256727100
119018960764
124152a02850
132009b7143b
141059180940
1584625e7a0
hex4f2ffea3c

21256727100 has 72 divisors (see below), whose sum is σ = 70288917888. Its totient is φ = 4858680000.

The previous prime is 21256727059. The next prime is 21256727123. The reversal of 21256727100 is 172765212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5059026 + ... + 5063225.

Almost surely, 221256727100 is an apocalyptic number.

21256727100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21256727100 is an abundant number, since it is smaller than the sum of its proper divisors (49032190788).

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

21256727100 is a wasteful number, since it uses less digits than its factorization.

21256727100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122275 (or 10122268 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 21256727100 in words is "twenty-one billion, two hundred fifty-six million, seven hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 10122251 20244502 30366753 40489004 50611255 60733506 70855757 101222510 121467012 141711514 151833765 202445020 212567271 253056275 283423028 303667530 354278785 425134542 506112550 607335060 708557570 759168825 850269084 1012225100 1062836355 1417115140 1518337650 1771393925 2125672710 3036675300 3542787850 4251345420 5314181775 7085575700 10628363550 21256727100