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210200100013 is a prime number
BaseRepresentation
bin1100001111000011100…
…1101111110010101101
3202002120012120110020101
43003300321233302231
511420442211200023
6240321541351101
721120645240631
oct3036071576255
9662505513211
10210200100013
1181166527322
12348a3708491
1316a8b5ca307
14a260a50dc1
155703bab1ad
hex30f0e6fcad

210200100013 has 2 divisors, whose sum is σ = 210200100014. Its totient is φ = 210200100012.

The previous prime is 210200100001. The next prime is 210200100023. The reversal of 210200100013 is 310001002012.

It is an a-pointer prime, because the next prime (210200100023) can be obtained adding 210200100013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188531376804 + 21668723209 = 434202^2 + 147203^2 .

It is a cyclic number.

It is not a de Polignac number, because 210200100013 - 225 = 210166545581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210200100023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105100050006 + 105100050007.

It is an arithmetic number, because the mean of its divisors is an integer number (105100050007).

Almost surely, 2210200100013 is an apocalyptic number.

It is an amenable number.

210200100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210200100013 is an equidigital number, since it uses as much as digits as its factorization.

210200100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 210200100013 its reverse (310001002012), we get a palindrome (520201102025).

The spelling of 210200100013 in words is "two hundred ten billion, two hundred million, one hundred thousand, thirteen".