Search a number
-
+
23332300101 = 3311227346079
BaseRepresentation
bin10101101110101101…
…101010010101000101
32020020001211122122000
4111232231222111011
5340241032100401
614415124055513
71454124164355
oct255655522505
966201748560
1023332300101
119993525450
124631b34599
13227ab88b46
1411b4aacb65
1591859e186
hex56eb6a545

23332300101 has 32 divisors (see below), whose sum is σ = 37874995200. Its totient is φ = 14078453040.

The previous prime is 23332300093. The next prime is 23332300111. The reversal of 23332300101 is 10100323332.

23332300101 is a `hidden beast` number, since 2 + 333 + 230 + 0 + 101 = 666.

It is not a de Polignac number, because 23332300101 - 23 = 23332300093 is a prime.

It is a super-2 number, since 2×233323001012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332300111) 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 31 ways as a sum of consecutive naturals, for example, 105621 + ... + 240458.

It is an arithmetic number, because the mean of its divisors is an integer number (1183593600).

Almost surely, 223332300101 is an apocalyptic number.

It is an amenable number.

23332300101 is a deficient number, since it is larger than the sum of its proper divisors (14542695099).

23332300101 is a wasteful number, since it uses less digits than its factorization.

23332300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346326 (or 346320 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23332300101 its reverse (10100323332), we get a palindrome (33432623433).

The spelling of 23332300101 in words is "twenty-three billion, three hundred thirty-two million, three hundred thousand, one hundred one".

Divisors: 1 3 9 11 27 33 99 227 297 681 2043 2497 6129 7491 22473 67419 346079 1038237 3114711 3806869 9344133 11420607 34261821 78559933 102785463 235679799 707039397 864159263 2121118191 2592477789 7777433367 23332300101