Search a number
-
+
1023122223161 is a prime number
BaseRepresentation
bin11101110001101101101…
…01100011000000111001
310121210212010222001201122
432320312311203000321
5113230323242120121
62102003231555025
7133626631256243
oct16706665430071
93553763861648
101023122223161
113649a3905435
1214635568ba75
137563177c7ac
143773b26d093
151b93166a5ab
hexee36d63039

1023122223161 has 2 divisors, whose sum is σ = 1023122223162. Its totient is φ = 1023122223160.

The previous prime is 1023122223113. The next prime is 1023122223187. The reversal of 1023122223161 is 1613222213201.

It is an a-pointer prime, because the next prime (1023122223187) can be obtained adding 1023122223161 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 682679147536 + 340443075625 = 826244^2 + 583475^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023122223161 - 210 = 1023122222137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023122223161.

It is not a weakly prime, because it can be changed into another prime (1023122223661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511561111580 + 511561111581.

It is an arithmetic number, because the mean of its divisors is an integer number (511561111581).

Almost surely, 21023122223161 is an apocalyptic number.

It is an amenable number.

1023122223161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023122223161 is an equidigital number, since it uses as much as digits as its factorization.

1023122223161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1023122223161 its reverse (1613222213201), we get a palindrome (2636344436362).

The spelling of 1023122223161 in words is "one trillion, twenty-three billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred sixty-one".