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10401202201 = 133738955589
BaseRepresentation
bin10011010111111010…
…11100000000011001
3222211212200211002011
421223331130000121
5132300201432301
64440033505521
7515515521445
oct115375340031
928755624064
1010401202201
114458231185
1220234122a1
13c99b60020
1470955b825
1540d20ca51
hex26bf5c019

10401202201 has 16 divisors (see below), whose sum is σ = 11533813200. Its totient is φ = 9317438208.

The previous prime is 10401202193. The next prime is 10401202267. The reversal of 10401202201 is 10220210401.

It is a happy number.

10401202201 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 8 ways, for example, as 1955408400 + 8445793801 = 44220^2 + 91901^2 .

It is not a de Polignac number, because 10401202201 - 23 = 10401202193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10401202271) 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 15 ways as a sum of consecutive naturals, for example, 159315 + ... + 214903.

It is an arithmetic number, because the mean of its divisors is an integer number (720863325).

Almost surely, 210401202201 is an apocalyptic number.

It is an amenable number.

10401202201 is a deficient number, since it is larger than the sum of its proper divisors (1132610999).

10401202201 is a wasteful number, since it uses less digits than its factorization.

10401202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56028.

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

Adding to 10401202201 its reverse (10220210401), we get a palindrome (20621412602).

The spelling of 10401202201 in words is "ten billion, four hundred one million, two hundred two thousand, two hundred one".

Divisors: 1 13 37 389 481 5057 14393 55589 187109 722657 2056793 21624121 26738309 281113573 800092477 10401202201