Search a number
-
+
23133012231233 is a prime number
BaseRepresentation
bin1010100001010000100101…
…11110100000010001000001
310000220111100101201020011102
411100220102332200101001
511013002402112344413
6121111054211224145
74605206415420422
oct520502276402101
9100814311636142
1023133012231233
117409723367843
1227173baba8055
13cba583a92cb8
1459d9026cb649
152a1b21aeb458
hex150a12fa0441

23133012231233 has 2 divisors, whose sum is σ = 23133012231234. Its totient is φ = 23133012231232.

The previous prime is 23133012231229. The next prime is 23133012231269. The reversal of 23133012231233 is 33213221033132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22730229070129 + 402783161104 = 4767623^2 + 634652^2 .

It is a cyclic number.

It is not a de Polignac number, because 23133012231233 - 22 = 23133012231229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23133012231196 and 23133012231205.

It is not a weakly prime, because it can be changed into another prime (23133012231283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11566506115616 + 11566506115617.

It is an arithmetic number, because the mean of its divisors is an integer number (11566506115617).

Almost surely, 223133012231233 is an apocalyptic number.

It is an amenable number.

23133012231233 is a deficient number, since it is larger than the sum of its proper divisors (1).

23133012231233 is an equidigital number, since it uses as much as digits as its factorization.

23133012231233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 23133012231233 its reverse (33213221033132), we get a palindrome (56346233264365).

The spelling of 23133012231233 in words is "twenty-three trillion, one hundred thirty-three billion, twelve million, two hundred thirty-one thousand, two hundred thirty-three".