Search a number
-
+
2013221420389 is a prime number
BaseRepresentation
bin11101010010111101010…
…110001111110101100101
321010110110212021121002201
4131102331112033311211
5230441034140423024
64140510001534501
7265310334503134
oct35227526176545
97113425247081
102013221420389
117068910096a3
12286213944431
13117acc78014a
146d6247b591b
153757daba744
hex1d4bd58fd65

2013221420389 has 2 divisors, whose sum is σ = 2013221420390. Its totient is φ = 2013221420388.

The previous prime is 2013221420387. The next prime is 2013221420437. The reversal of 2013221420389 is 9830241223102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1829337400900 + 183884019489 = 1352530^2 + 428817^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013221420389 - 21 = 2013221420387 is a prime.

It is a super-2 number, since 2×20132214203892 (a number of 25 digits) contains 22 as substring.

Together with 2013221420387, 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 (2013221420387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006610710194 + 1006610710195.

It is an arithmetic number, because the mean of its divisors is an integer number (1006610710195).

Almost surely, 22013221420389 is an apocalyptic number.

It is an amenable number.

2013221420389 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013221420389 is an equidigital number, since it uses as much as digits as its factorization.

2013221420389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 2013221420389 in words is "two trillion, thirteen billion, two hundred twenty-one million, four hundred twenty thousand, three hundred eighty-nine".