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1010010202213 is a prime number
BaseRepresentation
bin11101011001010010100…
…11001010000001100101
310120120000100101101102011
432230221103022001211
5113022000102432323
62051554155514221
7132653665032025
oct16545123120145
93516010341364
101010010202213
1135a385478a91
121438b6458971
137432211890c
1436c55aa3a85
151b41548c20d
hexeb294ca065

1010010202213 has 2 divisors, whose sum is σ = 1010010202214. Its totient is φ = 1010010202212.

The previous prime is 1010010202199. The next prime is 1010010202217. The reversal of 1010010202213 is 3122020100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 696787528644 + 313222673569 = 834738^2 + 559663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010010202213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010010202193 and 1010010202202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010202217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005101106 + 505005101107.

It is an arithmetic number, because the mean of its divisors is an integer number (505005101107).

Almost surely, 21010010202213 is an apocalyptic number.

It is an amenable number.

1010010202213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010202213 is an equidigital number, since it uses as much as digits as its factorization.

1010010202213 is an evil number, because the sum of its binary digits is even.

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

Adding to 1010010202213 its reverse (3122020100101), we get a palindrome (4132030302314).

The spelling of 1010010202213 in words is "one trillion, ten billion, ten million, two hundred two thousand, two hundred thirteen".