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2002130401 is a prime number
BaseRepresentation
bin111011101010110…
…0001010111100001
312011112100202120211
41313111201113201
513100021133101
6530400334121
7100420553605
oct16725412741
95145322524
102002130401
11938172227
1247a614341
1325ba41c5b
1414dc91505
15bab83c51
hex775615e1

2002130401 has 2 divisors, whose sum is σ = 2002130402. Its totient is φ = 2002130400.

The previous prime is 2002130387. The next prime is 2002130413. The reversal of 2002130401 is 1040312002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2002115025 + 15376 = 44745^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002130401 - 225 = 1968575969 is a prime.

It is a super-2 number, since 2×20021304012 = 8017052285216841602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002130441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001065200 + 1001065201.

It is an arithmetic number, because the mean of its divisors is an integer number (1001065201).

Almost surely, 22002130401 is an apocalyptic number.

It is an amenable number.

2002130401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002130401 is an equidigital number, since it uses as much as digits as its factorization.

2002130401 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 13.

The square root of 2002130401 is about 44745.1718177503. The cubic root of 2002130401 is about 1260.3682473249.

Adding to 2002130401 its reverse (1040312002), we get a palindrome (3042442403).

The spelling of 2002130401 in words is "two billion, two million, one hundred thirty thousand, four hundred one".