Search a number
-
+
212311030302 = 23271978879643
BaseRepresentation
bin1100010110111010111…
…0010011101000011110
3202022000022122211012200
43011232232103220132
511434303110432202
6241311230112330
721224156660430
oct3055656235036
9668008584180
10212311030302
118204a050508
123519264b6a6
1317036a442a7
14a3c1144650
1557c9181e1c
hex316eb93a1e

212311030302 has 96 divisors (see below), whose sum is σ = 529041756672. Its totient is φ = 60278081472.

The previous prime is 212311030279. The next prime is 212311030361. The reversal of 212311030302 is 203030113212.

212311030302 is a `hidden beast` number, since 21 + 2 + 311 + 0 + 30 + 302 = 666.

It is a super-2 number, since 2×2123110303022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22012293 + ... + 22021935.

It is an arithmetic number, because the mean of its divisors is an integer number (5510851632).

Almost surely, 2212311030302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212311030302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264520878336).

212311030302 is an abundant number, since it is smaller than the sum of its proper divisors (316730726370).

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

212311030302 is a wasteful number, since it uses less digits than its factorization.

212311030302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212311030302 its reverse (203030113212), we get a palindrome (415341143514).

The spelling of 212311030302 in words is "two hundred twelve billion, three hundred eleven million, thirty thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 197 394 591 887 1182 1379 1773 1774 2661 2758 3546 4137 5322 6209 7983 8274 9643 12411 12418 15966 18627 19286 24822 28929 37254 55881 57858 67501 86787 111762 135002 173574 174739 202503 349478 405006 524217 607509 1048434 1215018 1223173 1572651 1899671 2446346 3145302 3669519 3799342 5699013 7339038 8553341 11008557 11398026 13297697 17097039 17106682 22017114 25660023 26595394 34194078 39893091 51320046 59873387 76980069 79786182 119679273 119746774 153960138 179620161 239358546 359240322 538860483 1077720966 1685008177 3370016354 5055024531 10110049062 11795057239 15165073593 23590114478 30330147186 35385171717 70770343434 106155515151 212311030302