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230413221333 = 3280933163409
BaseRepresentation
bin1101011010010110110…
…0101011110111010101
3211000201220010101222100
43112211230223313111
512233341241040313
6253503402552313
722434566031531
oct3264554536725
9730656111870
10230413221333
1189799290569
12387a4b08699
13189601a4729
14b21b372bc1
155ed84c4173
hex35a5b2bdd5

230413221333 has 12 divisors (see below), whose sum is σ = 332860327020. Its totient is φ = 153589785216.

The previous prime is 230413221307. The next prime is 230413221349. The reversal of 230413221333 is 333122314032.

230413221333 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 1 + 322 + 1 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49565452689 + 180847768644 = 222633^2 + 425262^2 .

It is not a de Polignac number, because 230413221333 - 210 = 230413220309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230413221297 and 230413221306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230413221373) 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 11 ways as a sum of consecutive naturals, for example, 1508868 + ... + 1654541.

It is an arithmetic number, because the mean of its divisors is an integer number (27738360585).

Almost surely, 2230413221333 is an apocalyptic number.

It is an amenable number.

230413221333 is a deficient number, since it is larger than the sum of its proper divisors (102447105687).

230413221333 is a wasteful number, since it uses less digits than its factorization.

230413221333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171508 (or 3171505 counting only the distinct ones).

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

Adding to 230413221333 its reverse (333122314032), we get a palindrome (563535535365).

The spelling of 230413221333 in words is "two hundred thirty billion, four hundred thirteen million, two hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 8093 24279 72837 3163409 9490227 28470681 25601469037 76804407111 230413221333