Search a number
-
+
250100506681 is a prime number
BaseRepresentation
bin1110100011101100100…
…1101110000000111001
3212220112221020010100221
43220323021232000321
513044201212203211
6310521121500041
724032503142104
oct3507311560071
9786487203327
10250100506681
1197081241423
124057a1a1621
131a779b4c1bc
14c167cd573b
15678ba6dc71
hex3a3b26e039

250100506681 has 2 divisors, whose sum is σ = 250100506682. Its totient is φ = 250100506680.

The previous prime is 250100506651. The next prime is 250100506693. The reversal of 250100506681 is 186605001052.

It is a happy number.

250100506681 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., 224377479225 + 25723027456 = 473685^2 + 160384^2 .

It is a cyclic number.

It is not a de Polignac number, because 250100506681 - 27 = 250100506553 is a prime.

It is a super-2 number, since 2×2501005066812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (250100506651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125050253340 + 125050253341.

It is an arithmetic number, because the mean of its divisors is an integer number (125050253341).

Almost surely, 2250100506681 is an apocalyptic number.

It is an amenable number.

250100506681 is a deficient number, since it is larger than the sum of its proper divisors (1).

250100506681 is an equidigital number, since it uses as much as digits as its factorization.

250100506681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 250100506681 in words is "two hundred fifty billion, one hundred million, five hundred six thousand, six hundred eighty-one".