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21442120200 = 2333523970763
BaseRepresentation
bin10011111110000011…
…001100101000001000
32001100100010120021000
4103332003030220020
5322403140321300
613503403015000
71356233004654
oct237603145010
961310116230
1021442120200
1191035772a6
1241a4b0a460
1320393b2cb7
141075a3da64
15857680c00
hex4fe0cca08

21442120200 has 96 divisors (see below), whose sum is σ = 73856210400. Its totient is φ = 5717897280.

The previous prime is 21442120169. The next prime is 21442120303. The reversal of 21442120200 is 202124412.

21442120200 is a `hidden beast` number, since 2 + 1 + 442 + 1 + 20 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1979982 + ... + 1990781.

It is an arithmetic number, because the mean of its divisors is an integer number (769335525).

Almost surely, 221442120200 is an apocalyptic number.

21442120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442120200 is an abundant number, since it is smaller than the sum of its proper divisors (52414090200).

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

21442120200 is a wasteful number, since it uses less digits than its factorization.

21442120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970788 (or 3970773 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21442120200 its reverse (202124412), we get a palindrome (21644244612).

The spelling of 21442120200 in words is "twenty-one billion, four hundred forty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 3970763 7941526 11912289 15883052 19853815 23824578 31766104 35736867 39707630 47649156 59561445 71473734 79415260 95298312 99269075 107210601 119122890 142947468 158830520 178684335 198538150 214421202 238245780 285894936 297807225 357368670 397076300 428842404 476491560 536053005 595614450 714737340 794152600 857684808 893421675 1072106010 1191228900 1429474680 1786843350 2144212020 2382457800 2680265025 3573686700 4288424040 5360530050 7147373400 10721060100 21442120200