Search a number
-
+
4031355502081 is a prime number
BaseRepresentation
bin111010101010011111100…
…000110011111000000001
3112021101122002121020121001
4322222133200303320001
51012022204002031311
612323551255132001
7564153514244065
oct72523740637001
915241562536531
104031355502081
1113147630a1456
12551378974001
13233202c5c36b
14dd1937d5aa5
156ece8ad94c1
hex3aa9f833e01

4031355502081 has 2 divisors, whose sum is σ = 4031355502082. Its totient is φ = 4031355502080.

The previous prime is 4031355502079. The next prime is 4031355502147. The reversal of 4031355502081 is 1802055531304.

4031355502081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3922400055025 + 108955447056 = 1980505^2 + 330084^2 .

It is a cyclic number.

It is not a de Polignac number, because 4031355502081 - 21 = 4031355502079 is a prime.

It is a super-2 number, since 2×40313555020812 (a number of 26 digits) contains 22 as substring.

Together with 4031355502079, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4031355502081.

It is not a weakly prime, because it can be changed into another prime (4031355502021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2015677751040 + 2015677751041.

It is an arithmetic number, because the mean of its divisors is an integer number (2015677751041).

Almost surely, 24031355502081 is an apocalyptic number.

It is an amenable number.

4031355502081 is a deficient number, since it is larger than the sum of its proper divisors (1).

4031355502081 is an equidigital number, since it uses as much as digits as its factorization.

4031355502081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 4031355502081 in words is "four trillion, thirty-one billion, three hundred fifty-five million, five hundred two thousand, eighty-one".