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10002201301 is a prime number
BaseRepresentation
bin10010101000010110…
…10111101011010101
3221211001220110202001
421110023113223111
5130441030420201
64332301515301
7502602210511
oct112413275325
927731813661
1010002201301
114272a88974
121b31872b31
13c352ab411
146ac577141
153d8195301
hex2542d7ad5

10002201301 has 2 divisors, whose sum is σ = 10002201302. Its totient is φ = 10002201300.

The previous prime is 10002201299. The next prime is 10002201343. The reversal of 10002201301 is 10310220001.

10002201301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5565309201 + 4436892100 = 74601^2 + 66610^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002201301 - 21 = 10002201299 is a prime.

Together with 10002201299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002201701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001100650 + 5001100651.

It is an arithmetic number, because the mean of its divisors is an integer number (5001100651).

Almost surely, 210002201301 is an apocalyptic number.

It is an amenable number.

10002201301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002201301 is an equidigital number, since it uses as much as digits as its factorization.

10002201301 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 10002201301 its reverse (10310220001), we get a palindrome (20312421302).

The spelling of 10002201301 in words is "ten billion, two million, two hundred one thousand, three hundred one".