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213243313332 = 223722912778681
BaseRepresentation
bin1100011010011001001…
…0101011110010110100
3202101102021220201002210
43012212102223302310
511443210242011312
6241543532133420
721256240153650
oct3064622536264
9671367821083
10213243313332
1182488322555
12353b2907270
1317154c31b5a
14a46cca5a60
155830e38e3c
hex31a64abcb4

213243313332 has 96 divisors (see below), whose sum is σ = 571645105920. Its totient is φ = 60606120960.

The previous prime is 213243313319. The next prime is 213243313397. The reversal of 213243313332 is 233313342312.

213243313332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213243313332.

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 31 ways as a sum of consecutive naturals, for example, 24560032 + ... + 24568712.

It is an arithmetic number, because the mean of its divisors is an integer number (5954636520).

Almost surely, 2213243313332 is an apocalyptic number.

It is an amenable number.

213243313332 is an abundant number, since it is smaller than the sum of its proper divisors (358401792588).

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

213243313332 is a wasteful number, since it uses less digits than its factorization.

213243313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10199 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 213243313332 its reverse (233313342312), we get a palindrome (446556655644).

The spelling of 213243313332 in words is "two hundred thirteen billion, two hundred forty-three million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 229 458 687 916 1277 1374 1603 2554 2748 3206 3831 4809 5108 6412 7662 8681 8939 9618 15324 17362 17878 19236 26043 26817 34724 35756 52086 53634 60767 104172 107268 121534 182301 243068 292433 364602 584866 729204 877299 1169732 1754598 1987949 2047031 3509196 3975898 4094062 5963847 6141093 7951796 8188124 11085637 11927694 12282186 13915643 22171274 23855388 24564372 27831286 33256911 41746929 44342548 55662572 66513822 77599459 83493858 133027644 155198918 166987716 232798377 310397836 465596754 931193508 2538610873 5077221746 7615832619 10154443492 15231665238 17770276111 30463330476 35540552222 53310828333 71081104444 106621656666 213243313332