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10111331201 = 34740017283
BaseRepresentation
bin10010110101010111…
…01010101110000001
3222002200020211211012
421122223222232001
5131202000044301
64351200530305
7505365616466
oct113253525601
928080224735
1010111331201
114319645874
121b62320995
13c51a9a71a
146bcc6366d
153e2a4eebb
hex25aaeab81

10111331201 has 8 divisors (see below), whose sum is σ = 10144397664. Its totient is φ = 10078288000.

The previous prime is 10111331189. The next prime is 10111331203. The reversal of 10111331201 is 10213311101.

It is a happy number.

10111331201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10111331201 is a prime.

It is a super-2 number, since 2×101113312012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10111331203) 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, 1384706 + ... + 1391988.

It is an arithmetic number, because the mean of its divisors is an integer number (1268049708).

Almost surely, 210111331201 is an apocalyptic number.

It is an amenable number.

10111331201 is a deficient number, since it is larger than the sum of its proper divisors (33066463).

10111331201 is an equidigital number, since it uses as much as digits as its factorization.

10111331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10111331201 its reverse (10213311101), we get a palindrome (20324642302).

The spelling of 10111331201 in words is "ten billion, one hundred eleven million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 347 4001 7283 1388347 2527201 29139283 10111331201