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203212123013 is a prime number
BaseRepresentation
bin1011110101000001100…
…0101110101110000101
3201102112012110102220102
42331100120232232011
511312134300414023
6233204313013445
720452533355064
oct2752030565605
9642465412812
10203212123013
11791aaa44819
12334733b4285
1316216943993
149b9a9441db
155445469628
hex2f5062eb85

203212123013 has 2 divisors, whose sum is σ = 203212123014. Its totient is φ = 203212123012.

The previous prime is 203212122979. The next prime is 203212123021. The reversal of 203212123013 is 310321212302.

203212123013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166425650209 + 36786472804 = 407953^2 + 191798^2 .

It is a cyclic number.

It is not a de Polignac number, because 203212123013 - 212 = 203212118917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (203212123063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101606061506 + 101606061507.

It is an arithmetic number, because the mean of its divisors is an integer number (101606061507).

Almost surely, 2203212123013 is an apocalyptic number.

It is an amenable number.

203212123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

203212123013 is an equidigital number, since it uses as much as digits as its factorization.

203212123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 203212123013 its reverse (310321212302), we get a palindrome (513533335315).

The spelling of 203212123013 in words is "two hundred three billion, two hundred twelve million, one hundred twenty-three thousand, thirteen".