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203133112213 is a prime number
BaseRepresentation
bin1011110100101110101…
…1010100111110010101
3201102022200210021110111
42331023223110332111
511312004034042323
6233152411323021
720450553651643
oct2751353247625
9642280707414
10203133112213
117916a389839
1233450a50471
131620346b925
149b90258193
15543d55dc0d
hex2f4bad4f95

203133112213 has 2 divisors, whose sum is σ = 203133112214. Its totient is φ = 203133112212.

The previous prime is 203133112211. The next prime is 203133112331. The reversal of 203133112213 is 312211331302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191439501444 + 11693610769 = 437538^2 + 108137^2 .

It is a cyclic number.

It is not a de Polignac number, because 203133112213 - 21 = 203133112211 is a prime.

It is a super-2 number, since 2×2031331122132 (a number of 23 digits) contains 22 as substring.

Together with 203133112211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (203133112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101566556106 + 101566556107.

It is an arithmetic number, because the mean of its divisors is an integer number (101566556107).

Almost surely, 2203133112213 is an apocalyptic number.

It is an amenable number.

203133112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

203133112213 is an equidigital number, since it uses as much as digits as its factorization.

203133112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 203133112213 its reverse (312211331302), we get a palindrome (515344443515).

The spelling of 203133112213 in words is "two hundred three billion, one hundred thirty-three million, one hundred twelve thousand, two hundred thirteen".