Search a number
-
+
1123231330233 = 33311133765789
BaseRepresentation
bin10000010110000101110…
…011011110111110111001
310222101020220220121202000
4100112011303132332321
5121400334210031413
62220001053331213
7144102501530205
oct20260563367671
93871226817660
101123231330233
113a33a5892271
12161833a96b09
1381bc6a7101c
143c5169b1b05
151e340258073
hex10585cdefb9

1123231330233 has 16 divisors (see below), whose sum is σ = 1669397059200. Its totient is φ = 746413097040.

The previous prime is 1123231330229. The next prime is 1123231330261. The reversal of 1123231330233 is 3320331323211.

1123231330233 is a `hidden beast` number, since 1 + 1 + 2 + 323 + 1 + 3 + 302 + 33 = 666.

It is not a de Polignac number, because 1123231330233 - 22 = 1123231330229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1123231330197 and 1123231330206.

It is not an unprimeable number, because it can be changed into a prime (1123231330283) 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 15 ways as a sum of consecutive naturals, for example, 66874498 + ... + 66891291.

It is an arithmetic number, because the mean of its divisors is an integer number (104337316200).

Almost surely, 21123231330233 is an apocalyptic number.

It is an amenable number.

1123231330233 is a deficient number, since it is larger than the sum of its proper divisors (546165728967).

1123231330233 is a wasteful number, since it uses less digits than its factorization.

1123231330233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133766109 (or 133766103 counting only the distinct ones).

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

Adding to 1123231330233 its reverse (3320331323211), we get a palindrome (4443562653444).

The spelling of 1123231330233 in words is "one trillion, one hundred twenty-three billion, two hundred thirty-one million, three hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 311 933 2799 8397 133765789 401297367 1203892101 3611676303 41601160379 124803481137 374410443411 1123231330233