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2002111313 is a prime number
BaseRepresentation
bin111011101010101…
…1100101101010001
312011112022210101212
41313111130231101
513100020030223
6530400105505
7100420444136
oct16725345521
95145283355
102002111313
11938159954
1247a605295
1325ba36367
1414dc8858d
15bab7d278
hex7755cb51

2002111313 has 2 divisors, whose sum is σ = 2002111314. Its totient is φ = 2002111312.

The previous prime is 2002111297. The next prime is 2002111333. The reversal of 2002111313 is 3131112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1905147904 + 96963409 = 43648^2 + 9847^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002111313 - 24 = 2002111297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002111333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055656 + 1001055657.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055657).

Almost surely, 22002111313 is an apocalyptic number.

It is an amenable number.

2002111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111313 is an equidigital number, since it uses as much as digits as its factorization.

2002111313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2002111313 is about 44744.9585204859. The cubic root of 2002111313 is about 1260.3642419272.

Adding to 2002111313 its reverse (3131112002), we get a palindrome (5133223315).

The spelling of 2002111313 in words is "two billion, two million, one hundred eleven thousand, three hundred thirteen".