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1005412301 is a prime number
BaseRepresentation
bin111011111011010…
…101111111001101
32121001212020101122
4323323111333031
54024341143201
6243433250325
733625602125
oct7373257715
92531766348
101005412301
11476590163
122408639a5
131303b382a
1497759c85
155d3eee1b
hex3bed5fcd

1005412301 has 2 divisors, whose sum is σ = 1005412302. Its totient is φ = 1005412300.

The previous prime is 1005412273. The next prime is 1005412313. The reversal of 1005412301 is 1032145001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 745235401 + 260176900 = 27299^2 + 16130^2 .

It is an emirp because it is prime and its reverse (1032145001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005412301 is a prime.

It is a super-2 number, since 2×10054123012 = 2021707790004229202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005412301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005412321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502706150 + 502706151.

It is an arithmetic number, because the mean of its divisors is an integer number (502706151).

Almost surely, 21005412301 is an apocalyptic number.

It is an amenable number.

1005412301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005412301 is an equidigital number, since it uses as much as digits as its factorization.

1005412301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1005412301 is about 31708.2371159294. The cubic root of 1005412301 is about 1001.8008553067.

Adding to 1005412301 its reverse (1032145001), we get a palindrome (2037557302).

The spelling of 1005412301 in words is "one billion, five million, four hundred twelve thousand, three hundred one".