Search a number
-
+
240030234133201 is a prime number
BaseRepresentation
bin110110100100111001100100…
…110101110100001011010001
31011110212122222201102011122001
4312210321210311310023101
5222430123404414230301
62210300211200114001
7101362416651306301
oct6644714465641321
91143778881364561
10240030234133201
116a532283658166
1222b07573905901
13a3c19a5597095
14433b74d693601
151cb3b0d232c01
hexda4e64d742d1

240030234133201 has 2 divisors, whose sum is σ = 240030234133202. Its totient is φ = 240030234133200.

The previous prime is 240030234133141. The next prime is 240030234133223. The reversal of 240030234133201 is 102331432030042.

It is a happy number.

240030234133201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239960392329025 + 69841804176 = 15490655^2 + 264276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240030234133201 is a prime.

It is a super-2 number, since 2×2400302341332012 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240030234133201.

It is not a weakly prime, because it can be changed into another prime (240030234133801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120015117066600 + 120015117066601.

It is an arithmetic number, because the mean of its divisors is an integer number (120015117066601).

Almost surely, 2240030234133201 is an apocalyptic number.

It is an amenable number.

240030234133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

240030234133201 is an equidigital number, since it uses as much as digits as its factorization.

240030234133201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 240030234133201 its reverse (102331432030042), we get a palindrome (342361666163243).

The spelling of 240030234133201 in words is "two hundred forty trillion, thirty billion, two hundred thirty-four million, one hundred thirty-three thousand, two hundred one".