Search a number
-
+
10400401203317 is a prime number
BaseRepresentation
bin1001011101011000100000…
…1110000010000001110101
31100211021020211201212022022
42113112020032002001311
52330400010202001232
634041513420242525
72122255431411266
oct227261016020165
940737224655268
1010400401203317
11334a870383404
1211bb8013a0445
135a59a4939a78
1427d54c6ca96d
15130811b8b812
hex97588382075

10400401203317 has 2 divisors, whose sum is σ = 10400401203318. Its totient is φ = 10400401203316.

The previous prime is 10400401203307. The next prime is 10400401203359. The reversal of 10400401203317 is 71330210400401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9638038221361 + 762362981956 = 3104519^2 + 873134^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400401203317 - 230 = 10399327461493 is a prime.

It is a super-3 number, since 3×104004012033173 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400401203307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200200601658 + 5200200601659.

It is an arithmetic number, because the mean of its divisors is an integer number (5200200601659).

Almost surely, 210400401203317 is an apocalyptic number.

It is an amenable number.

10400401203317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400401203317 is an equidigital number, since it uses as much as digits as its factorization.

10400401203317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 10400401203317 its reverse (71330210400401), we get a palindrome (81730611603718).

The spelling of 10400401203317 in words is "ten trillion, four hundred billion, four hundred one million, two hundred three thousand, three hundred seventeen".