Search a number
-
+
200200221121219 = 11235167934916381
BaseRepresentation
bin101101100001010010111111…
…000100000101101011000011
3222020211221202121222212100121
4231201102333010011223003
5202220040023101334334
61545442413435001111
760111663052625014
oct5541227704055303
9866757677885317
10200200221121219
1158876489683160
121a554188b99197
138792a5234bbc7
143761a5722500b
151822a01b40db4
hexb614bf105ac3

200200221121219 has 32 divisors (see below), whose sum is σ = 227978307532800. Its totient is φ = 174024215164800.

The previous prime is 200200221121151. The next prime is 200200221121223. The reversal of 200200221121219 is 912121122002002.

It is a happy number.

It is not a de Polignac number, because 200200221121219 - 219 = 200200220596931 is a prime.

It is a super-2 number, since 2×2002002211212192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200200221121193 and 200200221121202.

It is not an unprimeable number, because it can be changed into a prime (200200221121279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12221481409 + ... + 12221497789.

It is an arithmetic number, because the mean of its divisors is an integer number (7124322110400).

Almost surely, 2200200221121219 is an apocalyptic number.

200200221121219 is a deficient number, since it is larger than the sum of its proper divisors (27778086411581).

200200221121219 is a wasteful number, since it uses less digits than its factorization.

200200221121219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30931.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 200200221121219 in words is "two hundred trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 11 23 253 5167 9349 16381 56837 102839 118841 180191 215027 376763 1307251 2365297 4144393 48306283 84640627 153145969 531369113 931046897 1111044509 1684605659 1946734421 3522357287 12221489599 21414078631 38745930157 791305221823 8704357440053 18200020101929 200200221121219