Search a number
-
+
10010112200237 is a prime number
BaseRepresentation
bin1001000110101010100100…
…1011101000111000101101
31022102221211221010020202002
42101222221023220320231
52303001202210401422
633142325420342045
72052130624543532
oct221525113507055
938387757106662
1010010112200237
11320a2a04127a6
12115803a3a4925
13577c4616b666
142686c613ad89
151255bcab5692
hex91aa92e8e2d

10010112200237 has 2 divisors, whose sum is σ = 10010112200238. Its totient is φ = 10010112200236.

The previous prime is 10010112200159. The next prime is 10010112200273. The reversal of 10010112200237 is 73200221101001.

Together with next prime (10010112200273) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6399918397636 + 3610193802601 = 2529806^2 + 1900051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010112200237 is a prime.

It is a super-2 number, since 2×100101122002372 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010112200287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005056100118 + 5005056100119.

It is an arithmetic number, because the mean of its divisors is an integer number (5005056100119).

Almost surely, 210010112200237 is an apocalyptic number.

It is an amenable number.

10010112200237 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010112200237 is an equidigital number, since it uses as much as digits as its factorization.

10010112200237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10010112200237 its reverse (73200221101001), we get a palindrome (83210333301238).

The spelling of 10010112200237 in words is "ten trillion, ten billion, one hundred twelve million, two hundred thousand, two hundred thirty-seven".