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213004234120 = 23543131945341
BaseRepresentation
bin1100011001100000001…
…0101010110110001000
3202100210122001020002011
43012120002222312020
511442213040442440
6241504111545304
721250305055006
oct3063002526610
9670718036064
10213004234120
1182375378827
123534682b234
1317117544172
14a44922da76
155819e609ea
hex31980aad88

213004234120 has 64 divisors (see below), whose sum is σ = 494149170240. Its totient is φ = 82584902400.

The previous prime is 213004234109. The next prime is 213004234123. The reversal of 213004234120 is 21432400312.

It is a junction number, because it is equal to n+sod(n) for n = 213004234091 and 213004234100.

It is not an unprimeable number, because it can be changed into a prime (213004234123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247351 + ... + 697990.

It is an arithmetic number, because the mean of its divisors is an integer number (7721080785).

Almost surely, 2213004234120 is an apocalyptic number.

213004234120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213004234120 is an abundant number, since it is smaller than the sum of its proper divisors (281144936120).

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

213004234120 is a wasteful number, since it uses less digits than its factorization.

213004234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945526 (or 945522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 213004234120 its reverse (21432400312), we get a palindrome (234436634432).

The spelling of 213004234120 in words is "two hundred thirteen billion, four million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 131 172 215 262 344 430 524 655 860 1048 1310 1720 2620 5240 5633 11266 22532 28165 45064 56330 112660 225320 945341 1890682 3781364 4726705 7562728 9453410 18906820 37813640 40649663 81299326 123839671 162598652 203248315 247679342 325197304 406496630 495358684 619198355 812993260 990717368 1238396710 1625986520 2476793420 4953586840 5325105853 10650211706 21300423412 26625529265 42600846824 53251058530 106502117060 213004234120