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2001314993 is a prime number
BaseRepresentation
bin111011101001001…
…1010010010110001
312011110211100001112
41313102122102301
513044314034433
6530331043105
7100410616406
oct16722322261
95143740045
102001314993
11937765637
1247a2a0495
1325b817a72
1414db1c2ad
15baa72348
hex7749a4b1

2001314993 has 2 divisors, whose sum is σ = 2001314994. Its totient is φ = 2001314992.

The previous prime is 2001314983. The next prime is 2001315013. The reversal of 2001314993 is 3994131002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1104432289 + 896882704 = 33233^2 + 29948^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001314993 - 24 = 2001314977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001314933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000657496 + 1000657497.

It is an arithmetic number, because the mean of its divisors is an integer number (1000657497).

Almost surely, 22001314993 is an apocalyptic number.

It is an amenable number.

2001314993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001314993 is an equidigital number, since it uses as much as digits as its factorization.

2001314993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 2001314993 is about 44736.0592028399. The cubic root of 2001314993 is about 1260.1971206254.

Adding to 2001314993 its reverse (3994131002), we get a palindrome (5995445995).

The spelling of 2001314993 in words is "two billion, one million, three hundred fourteen thousand, nine hundred ninety-three".