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10401144781 is a prime number
BaseRepresentation
bin10011010111111010…
…01101111111001101
3222211212120220022111
421223331031333031
5132300143113111
64440032344021
7515515162156
oct115375157715
928755526274
1010401144781
1144581a2025
1220233a5011
13c99b3cb51
1470954492d
1540d1eaa21
hex26bf4dfcd

10401144781 has 2 divisors, whose sum is σ = 10401144782. Its totient is φ = 10401144780.

The previous prime is 10401144779. The next prime is 10401144797. The reversal of 10401144781 is 18744110401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6063736900 + 4337407881 = 77870^2 + 65859^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401144781 - 21 = 10401144779 is a prime.

It is a super-2 number, since 2×104011447812 (a number of 21 digits) contains 22 as substring.

Together with 10401144779, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401144701) 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, 5200572390 + 5200572391.

It is an arithmetic number, because the mean of its divisors is an integer number (5200572391).

Almost surely, 210401144781 is an apocalyptic number.

It is an amenable number.

10401144781 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401144781 is an equidigital number, since it uses as much as digits as its factorization.

10401144781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 31.

The spelling of 10401144781 in words is "ten billion, four hundred one million, one hundred forty-four thousand, seven hundred eighty-one".