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10000122201 = 323730030397
BaseRepresentation
bin10010101000000110…
…11100000101011001
3221210220222211202100
421110003130011121
5130440012402301
64332145154013
7502545431136
oct112403340531
927726884670
1010000122201
114271898903
121b3102b909
13c34a30c94
146ac19558d
153d7dd4286
hex2540dc159

10000122201 has 12 divisors (see below), whose sum is σ = 14835016612. Its totient is φ = 6486565536.

The previous prime is 10000122191. The next prime is 10000122217. The reversal of 10000122201 is 10222100001.

It can be written as a sum of positive squares in 2 ways, for example, as 8158424976 + 1841697225 = 90324^2 + 42915^2 .

It is a de Polignac number, because none of the positive numbers 2k-10000122201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000122221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15014866 + ... + 15015531.

Almost surely, 210000122201 is an apocalyptic number.

It is an amenable number.

10000122201 is a deficient number, since it is larger than the sum of its proper divisors (4834894411).

10000122201 is a wasteful number, since it uses less digits than its factorization.

10000122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30030440 (or 30030437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000122201 its reverse (10222100001), we get a palindrome (20222222202).

The spelling of 10000122201 in words is "ten billion, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 37 111 333 30030397 90091191 270273573 1111124689 3333374067 10000122201