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212321232320 = 2651394773409
BaseRepresentation
bin1100010110111101010…
…1001110010111000000
3202022001000212010202012
43011233111032113000
511434313213413240
6241312232512052
721224342461061
oct3055725162700
9668030763665
10212321232320
118205488942a
1235195b4b628
1317038ba6aa2
14a3c263c568
1557c9ee9b65
hex316f54e5c0

212321232320 has 56 divisors (see below), whose sum is σ = 509227378800. Its totient is φ = 84317478912.

The previous prime is 212321232317. The next prime is 212321232349. The reversal of 212321232320 is 23232123212.

212321232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2342225 + ... + 2431184.

It is an arithmetic number, because the mean of its divisors is an integer number (9093346050).

Almost surely, 2212321232320 is an apocalyptic number.

212321232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321232320 is an abundant number, since it is smaller than the sum of its proper divisors (296906146480).

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

212321232320 is a wasteful number, since it uses less digits than its factorization.

212321232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773565 (or 4773555 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 212321232320 its reverse (23232123212), we get a palindrome (235553355532).

The spelling of 212321232320 in words is "two hundred twelve billion, three hundred twenty-one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 320 556 695 1112 1390 2224 2780 4448 5560 8896 11120 22240 44480 4773409 9546818 19093636 23867045 38187272 47734090 76374544 95468180 152749088 190936360 305498176 381872720 663503851 763745440 1327007702 1527490880 2654015404 3317519255 5308030808 6635038510 10616061616 13270077020 21232123232 26540154040 42464246464 53080308080 106160616160 212321232320