Search a number
-
+
247453711420121 is a prime number
BaseRepresentation
bin111000010000111011001110…
…100100010100101011011001
31012110011100021121121021011022
4320100323032210110223121
5224413240200110420441
62234142355441412225
7103056640436155253
oct7020731644245331
91173140247537138
10247453711420121
1171934590a9aa68
122390622b33a075
13a80ca2845199b
144516b75adccd3
151d91c8b4b884b
hexe10ece914ad9

247453711420121 has 2 divisors, whose sum is σ = 247453711420122. Its totient is φ = 247453711420120.

The previous prime is 247453711420117. The next prime is 247453711420193. The reversal of 247453711420121 is 121024117354742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215448498410896 + 32005213009225 = 14678164^2 + 5657315^2 .

It is a cyclic number.

It is not a de Polignac number, because 247453711420121 - 22 = 247453711420117 is a prime.

It is a super-2 number, since 2×2474537114201212 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (247453111420121) 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, 123726855710060 + 123726855710061.

It is an arithmetic number, because the mean of its divisors is an integer number (123726855710061).

Almost surely, 2247453711420121 is an apocalyptic number.

It is an amenable number.

247453711420121 is a deficient number, since it is larger than the sum of its proper divisors (1).

247453711420121 is an equidigital number, since it uses as much as digits as its factorization.

247453711420121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 376320, while the sum is 44.

Adding to 247453711420121 its reverse (121024117354742), we get a palindrome (368477828774863).

The spelling of 247453711420121 in words is "two hundred forty-seven trillion, four hundred fifty-three billion, seven hundred eleven million, four hundred twenty thousand, one hundred twenty-one".