Search a number
-
+
23133505041 = 3323127521563
BaseRepresentation
bin10101100010110111…
…010100011000010001
32012201012202211002000
4111202313110120101
5334334134130131
614343303144213
71446161356053
oct254267243021
965635684060
1023133505041
1198a1295809
124597445069
13224893412a
1411965218d3
15905dd1ce6
hex562dd4611

23133505041 has 64 divisors (see below), whose sum is σ = 36176855040. Its totient is φ = 14581607040.

The previous prime is 23133505039. The next prime is 23133505051. The reversal of 23133505041 is 14050533132.

23133505041 is a `hidden beast` number, since 23 + 133 + 5 + 0 + 504 + 1 = 666.

It is not a de Polignac number, because 23133505041 - 21 = 23133505039 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 = 23133504996 and 23133505014.

It is not an unprimeable number, because it can be changed into a prime (23133505051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41089426 + ... + 41089988.

It is an arithmetic number, because the mean of its divisors is an integer number (565263360).

Almost surely, 223133505041 is an apocalyptic number.

It is an amenable number.

23133505041 is a deficient number, since it is larger than the sum of its proper divisors (13043349999).

23133505041 is a wasteful number, since it uses less digits than its factorization.

23133505041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 23133505041 in words is "twenty-three billion, one hundred thirty-three million, five hundred five thousand, forty-one".

Divisors: 1 3 9 23 27 69 127 207 381 521 563 621 1143 1563 1689 2921 3429 4689 5067 8763 11983 12949 14067 15201 26289 35949 38847 66167 71501 78867 107847 116541 198501 214503 293323 323541 349623 595503 643509 879969 1521841 1644523 1786509 1930527 2639907 4565523 4933569 6746429 7919721 13696569 14800707 20239287 37252021 41089707 44402121 60717861 111756063 182153583 335268189 856796483 1005804567 2570389449 7711168347 23133505041