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256101045313 is a prime number
BaseRepresentation
bin1110111010000011001…
…1111101010001000001
3220111001010022001220111
43232200303331101001
513143443331422223
6313352354111321
724334264652611
oct3564063752101
9814033261814
10256101045313
11996803aa963
124177387b541
131b1c5076189
14c576c04a41
1569dd76130d
hex3ba0cfd441

256101045313 has 2 divisors, whose sum is σ = 256101045314. Its totient is φ = 256101045312.

The previous prime is 256101045269. The next prime is 256101045371. The reversal of 256101045313 is 313540101652.

256101045313 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., 167307177024 + 88793868289 = 409032^2 + 297983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256101045313 is a prime.

It is a super-2 number, since 2×2561010453132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (256101045413) 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, 128050522656 + 128050522657.

It is an arithmetic number, because the mean of its divisors is an integer number (128050522657).

Almost surely, 2256101045313 is an apocalyptic number.

It is an amenable number.

256101045313 is a deficient number, since it is larger than the sum of its proper divisors (1).

256101045313 is an equidigital number, since it uses as much as digits as its factorization.

256101045313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 256101045313 its reverse (313540101652), we get a palindrome (569641146965).

The spelling of 256101045313 in words is "two hundred fifty-six billion, one hundred one million, forty-five thousand, three hundred thirteen".