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204324124323213 = 3579101211499439
BaseRepresentation
bin101110011101010011101010…
…110110010110110110001101
3222210110012021112102101100000
4232131103222312112312031
5203240121301311320323
62002321112404354513
761015634163522156
oct5635235266266615
9883405245371300
10204324124323213
115a116413509314
121aabb4739a5a39
138a018b3b9117b
1438654aa02492d
151894e155a5e43
hexb9d4ead96d8d

204324124323213 has 96 divisors (see below), whose sum is σ = 314492813107200. Its totient is φ = 132528869928000.

The previous prime is 204324124323133. The next prime is 204324124323239. The reversal of 204324124323213 is 312323421423402.

204324124323213 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 2 + 4 + 1 + 2 + 432 + 3 + 213 = 666.

It is not a de Polignac number, because 204324124323213 - 225 = 204324090768781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204324124323013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408857548 + ... + 409356986.

It is an arithmetic number, because the mean of its divisors is an integer number (3275966803200).

Almost surely, 2204324124323213 is an apocalyptic number.

It is an amenable number.

204324124323213 is a deficient number, since it is larger than the sum of its proper divisors (110168688783987).

204324124323213 is a wasteful number, since it uses less digits than its factorization.

204324124323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499845 (or 499833 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 204324124323213 its reverse (312323421423402), we get a palindrome (516647545746615).

The spelling of 204324124323213 in words is "two hundred four trillion, three hundred twenty-four billion, one hundred twenty-four million, three hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 79 81 101 211 237 243 303 633 711 909 1899 2133 2727 5697 6399 7979 8181 16669 17091 19197 21311 23937 24543 50007 51273 63933 71811 150021 191799 215433 450063 499439 575397 646299 1350189 1498317 1683569 1726191 1938897 4050567 4494951 5050707 5178573 13484853 15152121 39455681 40454559 45456363 50443339 105381629 118367043 121363677 136369089 151330017 316144887 355101129 409107267 453990051 948434661 1065303387 1361970153 2845303983 3195910161 3985023781 4085910459 8325148691 8535911949 9587730483 10643544529 11955071343 12257731377 24975446073 25607735847 31930633587 35865214029 74926338219 95791900761 107595642087 224779014657 287375702283 322786926261 674337043971 840840017791 862127106849 968360778783 2023011131913 2522520053373 2586381320547 7567560160119 22702680480357 68108041441071 204324124323213