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10031443201 = 131097079353
BaseRepresentation
bin10010101011110101…
…11010110100000001
3221220002221010002101
421111322322310001
5131021022140301
64335224350401
7503405601043
oct112572726401
927802833071
1010031443201
11428854082a
121b3b615401
13c3b379310
146b23c9a93
153daa1e701
hex255ebad01

10031443201 has 8 divisors (see below), whose sum is σ = 10902205160. Its totient is φ = 9174840192.

The previous prime is 10031443193. The next prime is 10031443223. The reversal of 10031443201 is 10234413001.

10031443201 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 312440976 + 9719002225 = 17676^2 + 98585^2 .

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 10031443201 - 23 = 10031443193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031443291) 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, 3538260 + ... + 3541093.

It is an arithmetic number, because the mean of its divisors is an integer number (1362775645).

Almost surely, 210031443201 is an apocalyptic number.

It is an amenable number.

10031443201 is a deficient number, since it is larger than the sum of its proper divisors (870761959).

10031443201 is a wasteful number, since it uses less digits than its factorization.

10031443201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079475.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10031443201 its reverse (10234413001), we get a palindrome (20265856202).

The spelling of 10031443201 in words is "ten billion, thirty-one million, four hundred forty-three thousand, two hundred one".

Divisors: 1 13 109 1417 7079353 92031589 771649477 10031443201