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4001212013 is a prime number
BaseRepresentation
bin1110111001111101…
…1010011001101101
3101022211222122000112
43232133122121231
531143302241023
61501011505405
7201103512101
oct35637323155
911284878015
104001212013
111773641897
12937bb8265
134b9c57296
1429d58b901
15186414478
hexee7da66d

4001212013 has 2 divisors, whose sum is σ = 4001212014. Its totient is φ = 4001212012.

The previous prime is 4001212001. The next prime is 4001212031. The reversal of 4001212013 is 3102121004.

Together with next prime (4001212031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3398656804 + 602555209 = 58298^2 + 24547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4001212013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001212063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000606006 + 2000606007.

It is an arithmetic number, because the mean of its divisors is an integer number (2000606007).

Almost surely, 24001212013 is an apocalyptic number.

It is an amenable number.

4001212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001212013 is an equidigital number, since it uses as much as digits as its factorization.

4001212013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4001212013 is about 63255.1342817324. The cubic root of 4001212013 is about 1587.5613650034.

Adding to 4001212013 its reverse (3102121004), we get a palindrome (7103333017).

It can be divided in two parts, 40012 and 12013, that added together give a palindrome (52025).

The spelling of 4001212013 in words is "four billion, one million, two hundred twelve thousand, thirteen".