Search a number
-
+
30101220312013 is a prime number
BaseRepresentation
bin1101101100000011111001…
…00010110100001111001101
310221120122111210120101010001
412312001330202310033031
512421134244344441023
6144004150521444301
76224512205011534
oct666017442641715
9127518453511101
1030101220312013
119655946146684
123461999940691
1313a46c0a055b6
14760c9a50731b
153730062126ad
hex1b607c8b43cd

30101220312013 has 2 divisors, whose sum is σ = 30101220312014. Its totient is φ = 30101220312012.

The previous prime is 30101220311963. The next prime is 30101220312089. The reversal of 30101220312013 is 31021302210103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30089031710409 + 12188601604 = 5485347^2 + 110402^2 .

It is an emirp because it is prime and its reverse (31021302210103) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30101220312013 is a prime.

It is a super-2 number, since 2×301012203120132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30101220315013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15050610156006 + 15050610156007.

It is an arithmetic number, because the mean of its divisors is an integer number (15050610156007).

Almost surely, 230101220312013 is an apocalyptic number.

It is an amenable number.

30101220312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

30101220312013 is an equidigital number, since it uses as much as digits as its factorization.

30101220312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 30101220312013 its reverse (31021302210103), we get a palindrome (61122522522116).

The spelling of 30101220312013 in words is "thirty trillion, one hundred one billion, two hundred twenty million, three hundred twelve thousand, thirteen".