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212412324320 = 25571011877761
BaseRepresentation
bin1100010111010011000…
…0101101100111100000
3202022021101021002110222
43011310300231213200
511440010023334240
6241325245142212
721226526652320
oct3056460554740
9668241232428
10212412324320
11820a1246179
123520055a968
1317051a1ba91
14a3d0791280
1557d2edeeb5
hex3174c2d9e0

212412324320 has 96 divisors (see below), whose sum is σ = 579191933376. Its totient is φ = 72105984000.

The previous prime is 212412324317. The next prime is 212412324329. The reversal of 212412324320 is 23423214212.

It is a self number, because there is not a number n which added to its sum of digits gives 212412324320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412324329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825761 + ... + 1052000.

It is an arithmetic number, because the mean of its divisors is an integer number (6033249306).

Almost surely, 2212412324320 is an apocalyptic number.

212412324320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212412324320 is an abundant number, since it is smaller than the sum of its proper divisors (366779609056).

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

212412324320 is a wasteful number, since it uses less digits than its factorization.

212412324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877884 (or 1877876 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212412324320 its reverse (23423214212), we get a palindrome (235835538532).

The spelling of 212412324320 in words is "two hundred twelve billion, four hundred twelve million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 202 224 280 404 505 560 707 808 1010 1120 1414 1616 2020 2828 3232 3535 4040 5656 7070 8080 11312 14140 16160 22624 28280 56560 113120 1877761 3755522 7511044 9388805 13144327 15022088 18777610 26288654 30044176 37555220 52577308 60088352 65721635 75110440 105154616 131443270 150220880 189653861 210309232 262886540 300441760 379307722 420618464 525773080 758615444 948269305 1051546160 1327577027 1517230888 1896538610 2103092320 2655154054 3034461776 3793077220 5310308108 6068923552 6637885135 7586154440 10620616216 13275770270 15172308880 21241232432 26551540540 30344617760 42482464864 53103081080 106206162160 212412324320