Search a number
-
+
36042103346401 is a prime number
BaseRepresentation
bin10000011000111101101001…
…10001000101010011100001
311201121120222011002220201101
420030132310301011103201
514211003211424041101
6204353302543034401
710406645630423425
oct1014366461052341
9151546864086641
1036042103346401
11105364087a5859
12406124b59ba01
1317159a9541669
148c8638c24b85
15427810222401
hex20c7b4c454e1

36042103346401 has 2 divisors, whose sum is σ = 36042103346402. Its totient is φ = 36042103346400.

The previous prime is 36042103346399. The next prime is 36042103346411. The reversal of 36042103346401 is 10464330124063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35312402995776 + 729700350625 = 5942424^2 + 854225^2 .

It is a cyclic number.

It is not a de Polignac number, because 36042103346401 - 21 = 36042103346399 is a prime.

Together with 36042103346399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (36042103346411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18021051673200 + 18021051673201.

It is an arithmetic number, because the mean of its divisors is an integer number (18021051673201).

Almost surely, 236042103346401 is an apocalyptic number.

It is an amenable number.

36042103346401 is a deficient number, since it is larger than the sum of its proper divisors (1).

36042103346401 is an equidigital number, since it uses as much as digits as its factorization.

36042103346401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 36042103346401 in words is "thirty-six trillion, forty-two billion, one hundred three million, three hundred forty-six thousand, four hundred one".