Search a number
-
+
10021294837 is a prime number
BaseRepresentation
bin10010101010101000…
…01101001011110101
3221212101211112011001
421111110031023311
5131010422413322
64334223043301
7503223413011
oct112524151365
927771745131
1010021294837
11428283a154
121b38140531
13c39235078
146b0d07541
153d9bb7827
hex25550d2f5

10021294837 has 2 divisors, whose sum is σ = 10021294838. Its totient is φ = 10021294836.

The previous prime is 10021294729. The next prime is 10021294901. The reversal of 10021294837 is 73849212001.

10021294837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5109247441 + 4912047396 = 71479^2 + 70086^2 .

It is an emirp because it is prime and its reverse (73849212001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021294837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021294796 and 10021294805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021214837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010647418 + 5010647419.

It is an arithmetic number, because the mean of its divisors is an integer number (5010647419).

Almost surely, 210021294837 is an apocalyptic number.

It is an amenable number.

10021294837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021294837 is an equidigital number, since it uses as much as digits as its factorization.

10021294837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 10021294837 in words is "ten billion, twenty-one million, two hundred ninety-four thousand, eight hundred thirty-seven".