Search a number
-
+
400323310104233 is a prime number
BaseRepresentation
bin101101100000101111000100…
…0101100011010111010101001
31221111102112102210021010111202
41123001132020230122322221
5404432344114341313413
63535225553444333545
7150215255546316365
oct13301361054327251
91844375383233452
10400323310104233
1110661218716824a
1238a9540a6a42b5
131424b431763739
1470bda7451c2a5
1531434dbe54e58
hex16c1788b1aea9

400323310104233 has 2 divisors, whose sum is σ = 400323310104234. Its totient is φ = 400323310104232.

The previous prime is 400323310104197. The next prime is 400323310104241. The reversal of 400323310104233 is 332401013323004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247819285144729 + 152504024959504 = 15742277^2 + 12349252^2 .

It is a cyclic number.

It is not a de Polignac number, because 400323310104233 - 218 = 400323309842089 is a prime.

It is a super-2 number, since 2×4003233101042332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400323310104196 and 400323310104205.

It is not a weakly prime, because it can be changed into another prime (400323310101233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200161655052116 + 200161655052117.

It is an arithmetic number, because the mean of its divisors is an integer number (200161655052117).

Almost surely, 2400323310104233 is an apocalyptic number.

It is an amenable number.

400323310104233 is a deficient number, since it is larger than the sum of its proper divisors (1).

400323310104233 is an equidigital number, since it uses as much as digits as its factorization.

400323310104233 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 400323310104233 its reverse (332401013323004), we get a palindrome (732724323427237).

The spelling of 400323310104233 in words is "four hundred trillion, three hundred twenty-three billion, three hundred ten million, one hundred four thousand, two hundred thirty-three".