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21312123200 = 265229459313
BaseRepresentation
bin10011110110010011…
…010011000101000000
32001000021112000220022
4103312103103011000
5322121400420300
613442440433012
71353064025654
oct236623230500
961007460808
1021312123200
119047157665
124169478768
1320184989b4
141062680a64
1584b053285
hex4f64d3140

21312123200 has 84 divisors (see below), whose sum is σ = 54249576540. Its totient is φ = 8230871040.

The previous prime is 21312123187. The next prime is 21312123211. The reversal of 21312123200 is 232121312.

It can be written as a sum of positive squares in 6 ways, for example, as 1381460224 + 19930662976 = 37168^2 + 141176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183257 + ... + 276056.

Almost surely, 221312123200 is an apocalyptic number.

21312123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312123200 is an abundant number, since it is smaller than the sum of its proper divisors (32937453340).

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

21312123200 is a wasteful number, since it uses less digits than its factorization.

21312123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459364 (or 459349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21312123200 its reverse (232121312), we get a palindrome (21544244512).

The spelling of 21312123200 in words is "twenty-one billion, three hundred twelve million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1160 1450 1600 1856 2320 2900 4640 5800 9280 11600 23200 46400 459313 918626 1837252 2296565 3674504 4593130 7349008 9186260 11482825 13320077 14698016 18372520 22965650 26640154 29396032 36745040 45931300 53280308 66600385 73490080 91862600 106560616 133200770 146980160 183725200 213121232 266401540 333001925 367450400 426242464 532803080 666003850 734900800 852484928 1065606160 1332007700 2131212320 2664015400 4262424640 5328030800 10656061600 21312123200