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10112210311 = 72883123369
BaseRepresentation
bin10010110101011110…
…00001010110000111
3222002201220111201211
421122233001112013
5131202211212221
64351231432251
7505406240500
oct113257012607
928081814654
1010112210311
11431a096305
121b62685687
13c520178c8
146bd011ba7
153e2b756e1
hex25abc1587

10112210311 has 12 divisors (see below), whose sum is σ = 11765018880. Its totient is φ = 8666256480.

The previous prime is 10112210299. The next prime is 10112210321. The reversal of 10112210311 is 11301221101.

It is a happy number.

10112210311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112210311 - 211 = 10112208263 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112210291 and 10112210300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112210321) 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 11 ways as a sum of consecutive naturals, for example, 421035 + ... + 444403.

It is an arithmetic number, because the mean of its divisors is an integer number (980418240).

Almost surely, 210112210311 is an apocalyptic number.

10112210311 is a deficient number, since it is larger than the sum of its proper divisors (1652808569).

10112210311 is an equidigital number, since it uses as much as digits as its factorization.

10112210311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32214 (or 32207 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10112210311 its reverse (11301221101), we get a palindrome (21413431412).

The spelling of 10112210311 in words is "ten billion, one hundred twelve million, two hundred ten thousand, three hundred eleven".

Divisors: 1 7 49 8831 23369 61817 163583 432719 1145081 206371639 1444601473 10112210311