Search a number
-
+
10202021000113 is a prime number
BaseRepresentation
bin1001010001110101011111…
…0101100111001110110001
31100010022012101101101021211
42110131113311213032301
52314122214334000423
633410424352120121
72102033406456025
oct224352765471661
940108171341254
1010202021000113
11328371a985548
121189278236041
1359007b095447
14273acd7b4385
1512a5a0a2710d
hex94757d673b1

10202021000113 has 2 divisors, whose sum is σ = 10202021000114. Its totient is φ = 10202021000112.

The previous prime is 10202021000077. The next prime is 10202021000173. The reversal of 10202021000113 is 31100012020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10151819460864 + 50201539249 = 3186192^2 + 224057^2 .

It is an emirp because it is prime and its reverse (31100012020201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202021000113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202021000093 and 10202021000102.

It is not a weakly prime, because it can be changed into another prime (10202021000173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101010500056 + 5101010500057.

It is an arithmetic number, because the mean of its divisors is an integer number (5101010500057).

Almost surely, 210202021000113 is an apocalyptic number.

It is an amenable number.

10202021000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202021000113 is an equidigital number, since it uses as much as digits as its factorization.

10202021000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10202021000113 its reverse (31100012020201), we get a palindrome (41302033020314).

The spelling of 10202021000113 in words is "ten trillion, two hundred two billion, twenty-one million, one hundred thirteen", and thus it is an aban number.