Search a number
-
+
203300131022334 = 232347137791236219
BaseRepresentation
bin101110001110011010000000…
…000101111010010111111110
3222122211022011200100222121200
4232032122000011322113332
5203121332132020203314
62000214442454240330
760551643524213463
oct5616320005722776
9878738150328550
10203300131022334
1159861112a36345
121a974b166560a6
138959173b03598
14382bac920766a
151878482723709
hexb8e68017a5fe

203300131022334 has 48 divisors (see below), whose sum is σ = 441758098529280. Its totient is φ = 67570640784720.

The previous prime is 203300131022323. The next prime is 203300131022357. The reversal of 203300131022334 is 433220131003302.

203300131022334 is a `hidden beast` number, since 2 + 0 + 3 + 300 + 1 + 3 + 1 + 0 + 22 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 203300131022298 and 203300131022307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860524477 + ... + 860760695.

It is an arithmetic number, because the mean of its divisors is an integer number (9203293719360).

Almost surely, 2203300131022334 is an apocalyptic number.

203300131022334 is an abundant number, since it is smaller than the sum of its proper divisors (238457967506946).

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

203300131022334 is a wasteful number, since it uses less digits than its factorization.

203300131022334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374365 (or 374362 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 203300131022334 its reverse (433220131003302), we get a palindrome (636520262025636).

The spelling of 203300131022334 in words is "two hundred three trillion, three hundred billion, one hundred thirty-one million, twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 347 694 1041 2082 3123 6246 137791 236219 275582 413373 472438 708657 826746 1240119 1417314 2125971 2480238 4251942 47813477 81967993 95626954 143440431 163935986 245903979 286880862 430321293 491807958 737711937 860642586 1475423874 32548852229 65097704458 97646556687 195293113374 292939670061 585879340122 11294451723463 22588903446926 33883355170389 67766710340778 101650065511167 203300131022334