Search a number
-
+
23145312201153 = 317508189318963
BaseRepresentation
bin1010100001100111100000…
…00111001010100111000001
310000221200002121021102212220
411100303300013022213001
511013203044410414103
6121120450514241253
74606123261430142
oct520636007124701
9100850077242786
1023145312201153
11741396538223a
122719872286229
13cbb7941149cc
145a034c0b1ac9
152a20e1871c53
hex150cf01ca9c1

23145312201153 has 16 divisors (see below), whose sum is σ = 32682166203456. Its totient is φ = 14519690462720.

The previous prime is 23145312201047. The next prime is 23145312201191. The reversal of 23145312201153 is 35110221354132.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 23145312201153 - 212 = 23145312197057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23145312206153) 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 15 ways as a sum of consecutive naturals, for example, 44400351 + ... + 44918612.

It is an arithmetic number, because the mean of its divisors is an integer number (2042635387716).

Almost surely, 223145312201153 is an apocalyptic number.

It is an amenable number.

23145312201153 is a deficient number, since it is larger than the sum of its proper divisors (9536854002303).

23145312201153 is a wasteful number, since it uses less digits than its factorization.

23145312201153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89324064.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 23145312201153 its reverse (35110221354132), we get a palindrome (58255533555285).

The spelling of 23145312201153 in words is "twenty-three trillion, one hundred forty-five billion, three hundred twelve million, two hundred one thousand, one hundred fifty-three".

Divisors: 1 3 17 51 5081 15243 86377 259131 89318963 267956889 1518422371 4555267113 453829651003 1361488953009 7715104067051 23145312201153