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20131333217 is a prime number
BaseRepresentation
bin10010101111111010…
…111100010001100001
31220221222122200112222
4102233322330101201
5312212110130332
613125340200425
71311605336402
oct225772742141
956858580488
1020131333217
1185a0681676
123a99b39115
131b8a96c1b8
14d8d9119a9
157cc55e712
hex4afebc461

20131333217 has 2 divisors, whose sum is σ = 20131333218. Its totient is φ = 20131333216.

The previous prime is 20131333193. The next prime is 20131333267. The reversal of 20131333217 is 71233313102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19944218176 + 187115041 = 141224^2 + 13679^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131333217 - 226 = 20064224353 is a prime.

It is not a weakly prime, because it can be changed into another prime (20131333267) 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, 10065666608 + 10065666609.

It is an arithmetic number, because the mean of its divisors is an integer number (10065666609).

Almost surely, 220131333217 is an apocalyptic number.

It is an amenable number.

20131333217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131333217 is an equidigital number, since it uses as much as digits as its factorization.

20131333217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 20131333217 its reverse (71233313102), we get a palindrome (91364646319).

The spelling of 20131333217 in words is "twenty billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred seventeen".