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213330000101 is a prime number
BaseRepresentation
bin1100011010101101110…
…1010111100011100101
3202101122100000211222212
43012223131113203211
511443344440000401
6242000310133205
721261342040031
oct3065335274345
9671570024885
10213330000101
1182522250609
1235417951205
1317169b939ba
14a47a5cd1c1
15583885ddbb
hex31ab7578e5

213330000101 has 2 divisors, whose sum is σ = 213330000102. Its totient is φ = 213330000100.

The previous prime is 213330000043. The next prime is 213330000109. The reversal of 213330000101 is 101000033312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159540330625 + 53789669476 = 399425^2 + 231926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213330000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213330000109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106665000050 + 106665000051.

It is an arithmetic number, because the mean of its divisors is an integer number (106665000051).

Almost surely, 2213330000101 is an apocalyptic number.

It is an amenable number.

213330000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213330000101 is an equidigital number, since it uses as much as digits as its factorization.

213330000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213330000101 its reverse (101000033312), we get a palindrome (314330033413).

The spelling of 213330000101 in words is "two hundred thirteen billion, three hundred thirty million, one hundred one", and thus it is an aban number.