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11202101000113 is a prime number
BaseRepresentation
bin1010001100000011000101…
…0000000011011110110001
31110122220120200100020010211
42203000301100003132301
52432013400324000423
635454101341224121
72234216335301152
oct243006120033661
943586520306124
1011202101000113
113629869a81641
12130b060b62041
13633479ac135a
142aa2826c3929
151465d42e210d
hexa30314037b1

11202101000113 has 2 divisors, whose sum is σ = 11202101000114. Its totient is φ = 11202101000112.

The previous prime is 11202101000039. The next prime is 11202101000117. The reversal of 11202101000113 is 31100010120211.

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., 10298245791744 + 903855208369 = 3209088^2 + 950713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11202101000113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11202101000093 and 11202101000102.

It is not a weakly prime, because it can be changed into another prime (11202101000117) 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, 5601050500056 + 5601050500057.

It is an arithmetic number, because the mean of its divisors is an integer number (5601050500057).

Almost surely, 211202101000113 is an apocalyptic number.

It is an amenable number.

11202101000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11202101000113 is an equidigital number, since it uses as much as digits as its factorization.

11202101000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11202101000113 its reverse (31100010120211), we get a palindrome (42302111120324).

The spelling of 11202101000113 in words is "eleven trillion, two hundred two billion, one hundred one million, one hundred thirteen", and thus it is an aban number.