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10200012201 = 321133334689
BaseRepresentation
bin10010111111111011…
…11101010110101001
3222022212010022021200
421133331331112221
5131342200342301
64404045354413
7510523446621
oct113775752651
928285108250
1010200012201
114364706155
121b87b68a09
13c6727a1a2
146ca949881
153ea71ac86
hex25ff7d5a9

10200012201 has 6 divisors (see below), whose sum is σ = 14733350970. Its totient is φ = 6800008128.

The previous prime is 10200012191. The next prime is 10200012203. The reversal of 10200012201 is 10221000201.

It can be written as a sum of positive squares in only one way, i.e., 9855724176 + 344288025 = 99276^2 + 18555^2 .

It is not a de Polignac number, because 10200012201 - 27 = 10200012073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1133334689 = 10200012201 / (1 + 0 + 2 + 0 + 0 + 0 + 1 + 2 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10200012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566667336 + ... + 566667353.

It is an arithmetic number, because the mean of its divisors is an integer number (2455558495).

Almost surely, 210200012201 is an apocalyptic number.

It is an amenable number.

10200012201 is a deficient number, since it is larger than the sum of its proper divisors (4533338769).

10200012201 is a wasteful number, since it uses less digits than its factorization.

10200012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133334695 (or 1133334692 counting only the distinct ones).

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

Adding to 10200012201 its reverse (10221000201), we get a palindrome (20421012402).

The spelling of 10200012201 in words is "ten billion, two hundred million, twelve thousand, two hundred one".

Divisors: 1 3 9 1133334689 3400004067 10200012201