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102400244230441 is a prime number
BaseRepresentation
bin10111010010000111101010…
…001011101010100100101001
3111102120100221002021221102111
4113102013222023222210221
5101410211200010333231
61001442004530402321
730366113340363403
oct2722075213524451
9442510832257374
10102400244230441
112a69a7773322a3
12b599a2a7303a1
13451a3bc7babb1
141b402ac07bb73
15bc89ea83a4b1
hex5d21ea2ea929

102400244230441 has 2 divisors, whose sum is σ = 102400244230442. Its totient is φ = 102400244230440.

The previous prime is 102400244230399. The next prime is 102400244230463. The reversal of 102400244230441 is 144032442004201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69542173248025 + 32858070982416 = 8339195^2 + 5732196^2 .

It is a cyclic number.

It is not a de Polignac number, because 102400244230441 - 213 = 102400244222249 is a prime.

It is a super-2 number, since 2×1024002442304412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102400244239441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200122115220 + 51200122115221.

It is an arithmetic number, because the mean of its divisors is an integer number (51200122115221).

Almost surely, 2102400244230441 is an apocalyptic number.

It is an amenable number.

102400244230441 is a deficient number, since it is larger than the sum of its proper divisors (1).

102400244230441 is an equidigital number, since it uses as much as digits as its factorization.

102400244230441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 102400244230441 its reverse (144032442004201), we get a palindrome (246432686234642).

The spelling of 102400244230441 in words is "one hundred two trillion, four hundred billion, two hundred forty-four million, two hundred thirty thousand, four hundred forty-one".