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20301311213 = 83219315269
BaseRepresentation
bin10010111010000011…
…010110110011101101
31221101211111110112022
4102322003112303231
5313034113424323
613154251315525
71316041204151
oct227203266355
957354443468
1020301311213
118678619657
123b26a4bba5
131bb6c444b1
14da831b061
157dc4384c8
hex4ba0d6ced

20301311213 has 12 divisors (see below), whose sum is σ = 20656675740. Its totient is φ = 19951489536.

The previous prime is 20301311207. The next prime is 20301311221. The reversal of 20301311213 is 31211310302.

It can be written as a sum of positive squares in 2 ways, for example, as 6971916004 + 13329395209 = 83498^2 + 115453^2 .

It is not a de Polignac number, because 20301311213 - 214 = 20301294829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20301311191 and 20301311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301331213) 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 in 11 ways as a sum of consecutive naturals, for example, 1321943 + ... + 1337211.

It is an arithmetic number, because the mean of its divisors is an integer number (1721389645).

Almost surely, 220301311213 is an apocalyptic number.

It is an amenable number.

20301311213 is a deficient number, since it is larger than the sum of its proper divisors (355364527).

20301311213 is an equidigital number, since it uses as much as digits as its factorization.

20301311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15545 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20301311213 its reverse (31211310302), we get a palindrome (51512621515).

The spelling of 20301311213 in words is "twenty billion, three hundred one million, three hundred eleven thousand, two hundred thirteen".

Divisors: 1 83 193 6889 15269 16019 1267327 1329577 2946917 105188141 244594111 20301311213