Search a number
-
+
23124440011311 = 32191131196731357
BaseRepresentation
bin1010100001000000101000…
…00010000101001000101111
310000212200012222120100002200
411100200110002011020233
511012332323120330221
6121103115430552543
74604454115642542
oct520402402051057
9100780188510080
1023124440011311
117406024596071
122715808208753
13cb9818b2ca12
1459d32c02c859
152a17be26e426
hex15081408522f

23124440011311 has 24 divisors (see below), whose sum is σ = 35471117451120. Its totient is φ = 14475662482176.

The previous prime is 23124440011289. The next prime is 23124440011339. The reversal of 23124440011311 is 11311004442132.

It is a happy number.

23124440011311 is a `hidden beast` number, since 2 + 3 + 1 + 244 + 400 + 1 + 1 + 3 + 11 = 666.

It is not a de Polignac number, because 23124440011311 - 214 = 23124439994927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23124440011391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598346356 + ... + 598385001.

It is an arithmetic number, because the mean of its divisors is an integer number (1477963227130).

Almost surely, 223124440011311 is an apocalyptic number.

23124440011311 is a deficient number, since it is larger than the sum of its proper divisors (12346677439809).

23124440011311 is a wasteful number, since it uses less digits than its factorization.

23124440011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196731495 (or 1196731492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 23124440011311 its reverse (11311004442132), we get a palindrome (34435444453443).

The spelling of 23124440011311 in words is "twenty-three trillion, one hundred twenty-four billion, four hundred forty million, eleven thousand, three hundred eleven".

Divisors: 1 3 9 19 57 113 171 339 1017 2147 6441 19323 1196731357 3590194071 10770582213 22737895783 68213687349 135230643341 204641062047 405691930023 1217075790069 2569382223479 7708146670437 23124440011311