Search a number
-
+
204013442224130 = 257112231188127903
BaseRepresentation
bin101110011000110010010100…
…110000001101000000000010
3222202100111100120020111102112
4232120302110300031000002
5203220024012202133010
62001522252001015322
760654325166330510
oct5630622460150002
9882314316214375
10204013442224130
115a006684574960
121aa6b209024542
1389ab500c62896
1438544363254b0
15188bcd0200a05
hexb98c94c0d002

204013442224130 has 64 divisors (see below), whose sum is σ = 459891044057088. Its totient is φ = 63303454618560.

The previous prime is 204013442224127. The next prime is 204013442224177. The reversal of 204013442224130 is 31422244310402.

It is a happy number.

It is a super-2 number, since 2×2040134422241302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593892242 + ... + 594235661.

It is an arithmetic number, because the mean of its divisors is an integer number (7185797563392).

Almost surely, 2204013442224130 is an apocalyptic number.

204013442224130 is an abundant number, since it is smaller than the sum of its proper divisors (255877601832958).

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

204013442224130 is a wasteful number, since it uses less digits than its factorization.

204013442224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188128151.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 204013442224130 its reverse (31422244310402), we get a palindrome (235435686534532).

The spelling of 204013442224130 in words is "two hundred four trillion, thirteen billion, four hundred forty-two million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 223 385 446 770 1115 1561 2230 2453 3122 4906 7805 12265 15610 17171 24530 34342 85855 171710 1188127903 2376255806 5940639515 8316895321 11881279030 13069406933 16633790642 26138813866 41584476605 65347034665 83168953210 91485848531 130694069330 182971697062 264952522369 457429242655 529905044738 914858485310 1324762611845 1854667656583 2649525223690 2914477746059 3709335313166 5828955492118 9273338282915 14572388730295 18546676565830 20401344222413 29144777460590 40802688444826 102006721112065 204013442224130