Search a number
-
+
213200031032 = 23172959916217
BaseRepresentation
bin1100011010001110110…
…1100100110100111000
3202101022021110201221122
43012203231210310320
511443113201443112
6241535344324412
721255203235332
oct3064355446470
9671267421848
10213200031032
118246594a95a
12353a0313708
1317148c89321
14a46723a452
15582c239872
hex31a3b64d38

213200031032 has 64 divisors (see below), whose sum is σ = 445281948000. Its totient is φ = 95227826176.

The previous prime is 213200031019. The next prime is 213200031053. The reversal of 213200031032 is 230130002312.

213200031032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 213200031032.

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 15 ways as a sum of consecutive naturals, for example, 225413 + ... + 690804.

Almost surely, 2213200031032 is an apocalyptic number.

It is an amenable number.

213200031032 is an abundant number, since it is smaller than the sum of its proper divisors (232081916968).

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

213200031032 is a wasteful number, since it uses less digits than its factorization.

213200031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916328 (or 916324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213200031032 its reverse (230130002312), we get a palindrome (443330033344).

The spelling of 213200031032 in words is "two hundred thirteen billion, two hundred million, thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 17 29 34 58 59 68 116 118 136 232 236 472 493 986 1003 1711 1972 2006 3422 3944 4012 6844 8024 13688 29087 58174 116348 232696 916217 1832434 3664868 7329736 15575689 26570293 31151378 53140586 54056803 62302756 106281172 108113606 124605512 212562344 216227212 432454424 451694981 903389962 918965651 1567647287 1806779924 1837931302 3135294574 3613559848 3675862604 6270589148 7351725208 12541178296 26650003879 53300007758 106600015516 213200031032