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230233003000333 = 17291370934065509
BaseRepresentation
bin110100010110010101001100…
…010111000000001000001101
31010012012001121211120121221121
4310112111030113000020031
5220134114142232002313
62133355325331400541
766331533304566634
oct6426251427001015
91105161554517847
10230233003000333
11673a52a5039193
12219a4846a53151
139b60b572a7458
1440bd4a028451b
151b93d4e89e28d
hexd1654c5c020d

230233003000333 has 16 divisors (see below), whose sum is σ = 252200596734000. Its totient is φ = 209202552681472.

The previous prime is 230233003000327. The next prime is 230233003000361. The reversal of 230233003000333 is 333000300332032.

It can be written as a sum of positive squares in 8 ways, for example, as 6311766856329 + 223921236144004 = 2512323^2 + 14963998^2 .

It is a cyclic number.

It is not a de Polignac number, because 230233003000333 - 237 = 230095564046861 is a prime.

It is a super-2 number, since 2×2302330030003332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230233003000298 and 230233003000307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230233003007333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10274218 + ... + 23791291.

It is an arithmetic number, because the mean of its divisors is an integer number (15762537295875).

Almost surely, 2230233003000333 is an apocalyptic number.

It is an amenable number.

230233003000333 is a deficient number, since it is larger than the sum of its proper divisors (21967593733667).

230233003000333 is a wasteful number, since it uses less digits than its factorization.

230233003000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34079264.

The product of its (nonzero) digits is 8748, while the sum is 25.

Adding to 230233003000333 its reverse (333000300332032), we get a palindrome (563233303332365).

The spelling of 230233003000333 in words is "two hundred thirty trillion, two hundred thirty-three billion, three million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 17 29 493 13709 233053 397561 6758537 34065509 579113653 987899761 16794295937 467004062881 7939069068977 13543117823549 230233003000333