Search a number
-
+
23023333011 = 372198243227
BaseRepresentation
bin10101011100010011…
…000010111010010011
32012102112110111110110
4111130103002322103
5334122433124021
614324325532403
71443353046600
oct253423027223
965375414413
1023023333011
119845086948
124566574103
13222bb6b693
141185a436a7
158eb3bd476
hex55c4c2e93

23023333011 has 24 divisors (see below), whose sum is σ = 37589119680. Its totient is φ = 12463757712.

The previous prime is 23023332947. The next prime is 23023333013. The reversal of 23023333011 is 11033332032.

It is not a de Polignac number, because 23023333011 - 26 = 23023332947 is a prime.

It is a super-2 number, since 2×230233330112 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23023333013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4118821 + ... + 4124406.

It is an arithmetic number, because the mean of its divisors is an integer number (1566213320).

Almost surely, 223023333011 is an apocalyptic number.

23023333011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23023333011 is a deficient number, since it is larger than the sum of its proper divisors (14565786669).

23023333011 is a wasteful number, since it uses less digits than its factorization.

23023333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243263 (or 8243256 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23023333011 its reverse (11033332032), we get a palindrome (34056665043).

The spelling of 23023333011 in words is "twenty-three billion, twenty-three million, three hundred thirty-three thousand, eleven".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 8243227 24729681 57702589 156621313 173107767 403918123 469863939 1096349191 1211754369 3289047573 7674444337 23023333011