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2014122001 is a prime number
BaseRepresentation
bin111100000001101…
…0001000000010001
312012100220222222011
41320003101000101
513111103401001
6531505342521
7100624516543
oct17003210021
95170828864
102014122001
11943a12741
12482637a41
13261380188
141516d3693
15bbc51d51
hex780d1011

2014122001 has 2 divisors, whose sum is σ = 2014122002. Its totient is φ = 2014122000.

The previous prime is 2014121981. The next prime is 2014122017. The reversal of 2014122001 is 1002214102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1488107776 + 526014225 = 38576^2 + 22935^2 .

It is a cyclic number.

It is not a de Polignac number, because 2014122001 - 27 = 2014121873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2014122401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007061000 + 1007061001.

It is an arithmetic number, because the mean of its divisors is an integer number (1007061001).

Almost surely, 22014122001 is an apocalyptic number.

It is an amenable number.

2014122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2014122001 is an equidigital number, since it uses as much as digits as its factorization.

2014122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2014122001 is about 44878.9705875703. The cubic root of 2014122001 is about 1262.8795318894.

Adding to 2014122001 its reverse (1002214102), we get a palindrome (3016336103).

The spelling of 2014122001 in words is "two billion, fourteen million, one hundred twenty-two thousand, one".