Search a number
-
+
9290919201013 is a prime number
BaseRepresentation
bin1000011100110011010111…
…1100000100100011110101
31012220012111010121110201001
42013030311330010203311
52204210300303413023
631432104522403301
71646150432115202
oct207146574044365
935805433543631
109290919201013
112a6229074777a
121060786060531
1352518c58b358
1424197bbbcca9
15111a28a4d6ad
hex87335f048f5

9290919201013 has 2 divisors, whose sum is σ = 9290919201014. Its totient is φ = 9290919201012.

The previous prime is 9290919201007. The next prime is 9290919201019. The reversal of 9290919201013 is 3101029190929.

9290919201013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (9290919201007) and next prime (9290919201019).

It can be written as a sum of positive squares in only one way, i.e., 6972858140689 + 2318061060324 = 2640617^2 + 1522518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9290919201013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9290919201019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4645459600506 + 4645459600507.

It is an arithmetic number, because the mean of its divisors is an integer number (4645459600507).

Almost surely, 29290919201013 is an apocalyptic number.

It is an amenable number.

9290919201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9290919201013 is an equidigital number, since it uses as much as digits as its factorization.

9290919201013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78732, while the sum is 46.

The spelling of 9290919201013 in words is "nine trillion, two hundred ninety billion, nine hundred nineteen million, two hundred one thousand, thirteen".