Search a number
-
+
35314453310141 is a prime number
BaseRepresentation
bin10000000011110010010010…
…11100011110101010111101
311122001000202222012010211102
420001321021130132222331
514112043000021411031
6203035122541302445
710303246034236325
oct1001711134365275
9148030688163742
1035314453310141
111028585927a725
123b64216b64a25
1316921a5829525
148a132b62c285
154139239d17cb
hex201e4971eabd

35314453310141 has 2 divisors, whose sum is σ = 35314453310142. Its totient is φ = 35314453310140.

The previous prime is 35314453310111. The next prime is 35314453310207. The reversal of 35314453310141 is 14101335441353.

35314453310141 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., 31700446999225 + 3614006310916 = 5630315^2 + 1901054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35314453310141 is a prime.

It is a super-2 number, since 2×353144533101412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35314453310095 and 35314453310104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35314453310111) 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, 17657226655070 + 17657226655071.

It is an arithmetic number, because the mean of its divisors is an integer number (17657226655071).

Almost surely, 235314453310141 is an apocalyptic number.

It is an amenable number.

35314453310141 is a deficient number, since it is larger than the sum of its proper divisors (1).

35314453310141 is an equidigital number, since it uses as much as digits as its factorization.

35314453310141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 35314453310141 its reverse (14101335441353), we get a palindrome (49415788751494).

The spelling of 35314453310141 in words is "thirty-five trillion, three hundred fourteen billion, four hundred fifty-three million, three hundred ten thousand, one hundred forty-one".