Search a number
-
+
11032313220333 = 321277959915881
BaseRepresentation
bin1010000010001010100100…
…0111000100110011101101
31110001200022212200100102200
42200202221013010303231
52421223134141022313
635244101424012113
72216026002054636
oct240425107046355
943050285610380
1011032313220333
113573861223689
1212a2177461039
1362045bb0c882
142a1d76cd088d
15141e98416b73
hexa08a91c4ced

11032313220333 has 12 divisors (see below), whose sum is σ = 15948042463548. Its totient is φ = 7349115977280.

The previous prime is 11032313220323. The next prime is 11032313220337. The reversal of 11032313220333 is 33302231323011.

11032313220333 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 2 + 3 + 1 + 322 + 0 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5697515980809 + 5334797239524 = 2386947^2 + 2309718^2 .

It is not a de Polignac number, because 11032313220333 - 212 = 11032313216237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11032313220297 and 11032313220306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032313220337) 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 11 ways as a sum of consecutive naturals, for example, 479946448 + ... + 479969433.

It is an arithmetic number, because the mean of its divisors is an integer number (1329003538629).

Almost surely, 211032313220333 is an apocalyptic number.

It is an amenable number.

11032313220333 is a deficient number, since it is larger than the sum of its proper divisors (4915729243215).

11032313220333 is a wasteful number, since it uses less digits than its factorization.

11032313220333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959917164 (or 959917161 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11032313220333 its reverse (33302231323011), we get a palindrome (44334544543344).

The spelling of 11032313220333 in words is "eleven trillion, thirty-two billion, three hundred thirteen million, two hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 1277 3831 11493 959915881 2879747643 8639242929 1225812580037 3677437740111 11032313220333