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10021420201 = 131933994189
BaseRepresentation
bin10010101010101001…
…01011110010101001
3221212102001220010011
421111110223302221
5131010440421301
64334225451521
7503224444342
oct112524536251
927772056104
1010021420201
114282915361
121b381a0ba1
13c3927a150
146b0d3b0c9
153d9bdea51
hex25552bca9

10021420201 has 8 divisors (see below), whose sum is σ = 10848220040. Its totient is φ = 9202609152.

The previous prime is 10021420187. The next prime is 10021420223. The reversal of 10021420201 is 10202412001.

It is a happy number.

10021420201 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1210000 + 10020210201 = 1100^2 + 100101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10021420201 - 223 = 10013031593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021420271) 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 in 7 ways as a sum of consecutive naturals, for example, 1994586 + ... + 1999603.

It is an arithmetic number, because the mean of its divisors is an integer number (1356027505).

Almost surely, 210021420201 is an apocalyptic number.

It is an amenable number.

10021420201 is a deficient number, since it is larger than the sum of its proper divisors (826799839).

10021420201 is a wasteful number, since it uses less digits than its factorization.

10021420201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994395.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10021420201 its reverse (10202412001), we get a palindrome (20223832202).

The spelling of 10021420201 in words is "ten billion, twenty-one million, four hundred twenty thousand, two hundred one".

Divisors: 1 13 193 2509 3994189 51924457 770878477 10021420201