Search a number
-
+
23002303311 = 3213401348991
BaseRepresentation
bin10101011011000010…
…110100101101001111
32012101001220002010200
4111123002310231033
5334102042201221
614322255104543
71443006231531
oct253302645517
965331802120
1023002303311
119834222a29
12455b512153
1322276b7680
141182d2b851
158e9617426
hex55b0b4b4f

23002303311 has 24 divisors (see below), whose sum is σ = 35791007616. Its totient is φ = 14151447360.

The previous prime is 23002303309. The next prime is 23002303409. The reversal of 23002303311 is 11330320032.

23002303311 is a `hidden beast` number, since 2 + 300 + 2 + 30 + 331 + 1 = 666.

It is not a de Polignac number, because 23002303311 - 21 = 23002303309 is a prime.

It is a super-2 number, since 2×230023033112 (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 (23002343311) 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 23 ways as a sum of consecutive naturals, for example, 445026 + ... + 494016.

It is an arithmetic number, because the mean of its divisors is an integer number (1491291984).

Almost surely, 223002303311 is an apocalyptic number.

23002303311 is a deficient number, since it is larger than the sum of its proper divisors (12788704305).

23002303311 is a wasteful number, since it uses less digits than its factorization.

23002303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53023 (or 53020 counting only the distinct ones).

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

Adding to 23002303311 its reverse (11330320032), we get a palindrome (34332623343).

The spelling of 23002303311 in words is "twenty-three billion, two million, three hundred three thousand, three hundred eleven".

Divisors: 1 3 9 13 39 117 4013 12039 36117 48991 52169 146973 156507 440919 469521 636883 1910649 5731947 196600883 589802649 1769407947 2555811479 7667434437 23002303311