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268201334981 is a prime number
BaseRepresentation
bin1111100111001000001…
…0111001100011000101
3221122021102010110211002
43321302002321203011
513343234020204411
6323113205223045
725243164506216
oct3716202714305
9848242113732
10268201334981
11a381a730658
1243b90101a85
131c3a2c232a8
14cda3c8b40d
156e9abe233b
hex3e720b98c5

268201334981 has 2 divisors, whose sum is σ = 268201334982. Its totient is φ = 268201334980.

The previous prime is 268201334941. The next prime is 268201334983. The reversal of 268201334981 is 189433102862.

268201334981 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., 265364068225 + 2837266756 = 515135^2 + 53266^2 .

It is a cyclic number.

It is not a de Polignac number, because 268201334981 - 26 = 268201334917 is a prime.

It is a super-2 number, since 2×2682013349812 (a number of 24 digits) contains 22 as substring.

Together with 268201334983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268201334983) 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, 134100667490 + 134100667491.

It is an arithmetic number, because the mean of its divisors is an integer number (134100667491).

Almost surely, 2268201334981 is an apocalyptic number.

It is an amenable number.

268201334981 is a deficient number, since it is larger than the sum of its proper divisors (1).

268201334981 is an equidigital number, since it uses as much as digits as its factorization.

268201334981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 268201334981 in words is "two hundred sixty-eight billion, two hundred one million, three hundred thirty-four thousand, nine hundred eighty-one".