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10112001201 = 34124839521
BaseRepresentation
bin10010110101011100…
…01110010010110001
3222002201111212220000
421122232032102301
5131202133014301
64351223140213
7505404410031
oct113256162261
928081455800
1010112001201
114319a63195
121b625a4669
13c51c73683
146bcd998c1
153e2b33786
hex25ab8e4b1

10112001201 has 10 divisors (see below), whose sum is σ = 15105582162. Its totient is φ = 6741334080.

The previous prime is 10112001161. The next prime is 10112001223. The reversal of 10112001201 is 10210021101.

It is a happy number.

10112001201 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 only one way, i.e., 6678158400 + 3433842801 = 81720^2 + 58599^2 .

It is not a de Polignac number, because 10112001201 - 213 = 10111993009 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10112001241) 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 9 ways as a sum of consecutive naturals, for example, 62419680 + ... + 62419841.

Almost surely, 210112001201 is an apocalyptic number.

It is an amenable number.

10112001201 is a deficient number, since it is larger than the sum of its proper divisors (4993580961).

10112001201 is an equidigital number, since it uses as much as digits as its factorization.

10112001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124839533 (or 124839524 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112001201 its reverse (10210021101), we get a palindrome (20322022302).

The spelling of 10112001201 in words is "ten billion, one hundred twelve million, one thousand, two hundred one".

Divisors: 1 3 9 27 81 124839521 374518563 1123555689 3370667067 10112001201