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13420214313 = 311715727791
BaseRepresentation
bin11000111111110100…
…00011100000101001
31021122021111112010120
430133322003200221
5204441033324223
610055401433453
7653364640152
oct143772034051
937567445116
1013420214313
1157673a7710
12272649b889
13135b47011c
149144b2929
155382a9be3
hex31fe83829

13420214313 has 16 divisors (see below), whose sum is σ = 19795249152. Its totient is φ = 8018906000.

The previous prime is 13420214299. The next prime is 13420214347. The reversal of 13420214313 is 31341202431.

It is a happy number.

13420214313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13420214313 - 221 = 13418117161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13420214383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861553 + ... + 2866238.

It is an arithmetic number, because the mean of its divisors is an integer number (1237203072).

Almost surely, 213420214313 is an apocalyptic number.

It is an amenable number.

13420214313 is a deficient number, since it is larger than the sum of its proper divisors (6375034839).

13420214313 is a wasteful number, since it uses less digits than its factorization.

13420214313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727876.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13420214313 its reverse (31341202431), we get a palindrome (44761416744).

The spelling of 13420214313 in words is "thirteen billion, four hundred twenty million, two hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 11 33 71 213 781 2343 5727791 17183373 63005701 189017103 406673161 1220019483 4473404771 13420214313