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212420440323 = 327213172179543
BaseRepresentation
bin1100010111010100111…
…1101011000100000011
3202022021221112102112200
43011311033223010003
511440014113042243
6241330135124243
721226655644200
oct3056517530403
9668257472480
10212420440323
11820a5889913
1235203213683
1317053600c50
14a3d18a4ca7
1557d3a94ad3
hex31753eb103

212420440323 has 72 divisors (see below), whose sum is σ = 406990610208. Its totient is φ = 105454960128.

The previous prime is 212420440313. The next prime is 212420440367. The reversal of 212420440323 is 323044024212.

212420440323 is a `hidden beast` number, since 212 + 4 + 2 + 0 + 440 + 3 + 2 + 3 = 666.

212420440323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212420440323 - 29 = 212420439811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212420440313) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 992311 + ... + 1187232.

It is an arithmetic number, because the mean of its divisors is an integer number (5652647364).

Almost surely, 2212420440323 is an apocalyptic number.

212420440323 is a deficient number, since it is larger than the sum of its proper divisors (194570169885).

212420440323 is a wasteful number, since it uses less digits than its factorization.

212420440323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179593 (or 2179583 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 212420440323 its reverse (323044024212), we get a palindrome (535464464535).

The spelling of 212420440323 in words is "two hundred twelve billion, four hundred twenty million, four hundred forty thousand, three hundred twenty-three".

Divisors: 1 3 7 9 13 17 21 39 49 51 63 91 117 119 147 153 221 273 357 441 637 663 819 833 1071 1547 1911 1989 2499 4641 5733 7497 10829 13923 32487 97461 2179543 6538629 15256801 19615887 28334059 37052231 45770403 85002177 106797607 111156693 137311209 198338413 255006531 259365617 320392821 333470079 481679003 595015239 778096851 961178463 1388368891 1445037009 1785045717 1815559319 2334290553 3371753021 4165106673 4335111027 5446677957 10115259063 12495320019 16340033871 23602271147 30345777189 70806813441 212420440323