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10021200241 = 132926581433
BaseRepresentation
bin10010101010100111…
…10110000101110001
3221212101122201101111
421111103312011301
5131010411401431
64334221033321
7503222540143
oct112523660561
927771581344
1010021200241
114282785078
121b380b5841
13c39200cb0
146b0cc0c93
153d9b997b1
hex2554f6171

10021200241 has 8 divisors (see below), whose sum is σ = 11164202280. Its totient is φ = 8931361152.

The previous prime is 10021200227. The next prime is 10021200281. The reversal of 10021200241 is 14200212001.

It is a happy number.

10021200241 is digitally balanced in base 2, because in such base 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 1648035216 + 8373165025 = 40596^2 + 91505^2 .

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 10021200241 - 27 = 10021200113 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 (10021200281) 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, 13290340 + ... + 13291093.

It is an arithmetic number, because the mean of its divisors is an integer number (1395525285).

Almost surely, 210021200241 is an apocalyptic number.

It is an amenable number.

10021200241 is a deficient number, since it is larger than the sum of its proper divisors (1143002039).

10021200241 is a wasteful number, since it uses less digits than its factorization.

10021200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26581475.

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

Adding to 10021200241 its reverse (14200212001), we get a palindrome (24221412242).

The spelling of 10021200241 in words is "ten billion, twenty-one million, two hundred thousand, two hundred forty-one".

Divisors: 1 13 29 377 26581433 345558629 770861557 10021200241