Search a number
-
+
20312104323233 is a prime number
BaseRepresentation
bin1001001111001010001111…
…10000110100100010100001
32122220211002110210212022202
410213211013300310202201
510130243142201320413
6111111130224542545
74164333611010332
oct447450760644241
978824073725282
1020312104323233
11652135139a558
122340756781a55
13b44566a72688
1450317abb6289
15253570020e58
hex127947c348a1

20312104323233 has 2 divisors, whose sum is σ = 20312104323234. Its totient is φ = 20312104323232.

The previous prime is 20312104323209. The next prime is 20312104323257. The reversal of 20312104323233 is 33232340121302.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (20312104323209) and next prime (20312104323257).

It can be written as a sum of positive squares in only one way, i.e., 17238913008529 + 3073191314704 = 4151977^2 + 1753052^2 .

It is a cyclic number.

It is not a de Polignac number, because 20312104323233 - 218 = 20312104061089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20312104323196 and 20312104323205.

It is not a weakly prime, because it can be changed into another prime (20312104323293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10156052161616 + 10156052161617.

It is an arithmetic number, because the mean of its divisors is an integer number (10156052161617).

Almost surely, 220312104323233 is an apocalyptic number.

It is an amenable number.

20312104323233 is a deficient number, since it is larger than the sum of its proper divisors (1).

20312104323233 is an equidigital number, since it uses as much as digits as its factorization.

20312104323233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 20312104323233 its reverse (33232340121302), we get a palindrome (53544444444535).

The spelling of 20312104323233 in words is "twenty trillion, three hundred twelve billion, one hundred four million, three hundred twenty-three thousand, two hundred thirty-three".