Search a number
-
+
10332232123313 = 711913492183117
BaseRepresentation
bin1001011001011010100100…
…0001101000001110110001
31100120202022000120210111102
42112112221001220032301
52323240402410421223
633550321212254145
72114323225655642
oct226265101501661
940522260523442
1010332232123313
113323969744661
1211aa557771355
1359c42c91a139
1427a122d196c9
1512db72190928
hex965a90683b1

10332232123313 has 16 divisors (see below), whose sum is σ = 10562798131200. Its totient is φ = 10104334094400.

The previous prime is 10332232123289. The next prime is 10332232123321. The reversal of 10332232123313 is 31332123223301.

It is a cyclic number.

It is not a de Polignac number, because 10332232123313 - 226 = 10332165014449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10332232123373) 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, 3641231 + ... + 5824347.

It is an arithmetic number, because the mean of its divisors is an integer number (660174883200).

Almost surely, 210332232123313 is an apocalyptic number.

It is an amenable number.

10332232123313 is a deficient number, since it is larger than the sum of its proper divisors (230566007887).

10332232123313 is a wasteful number, since it uses less digits than its factorization.

10332232123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183728.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 10332232123313 its reverse (31332123223301), we get a palindrome (41664355346614).

The spelling of 10332232123313 in words is "ten trillion, three hundred thirty-two billion, two hundred thirty-two million, one hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 71 191 349 13561 24779 66659 2183117 4732789 155001307 416975347 761907833 29605249637 54095456143 145524396103 10332232123313