Search a number
-
+
10111100022 = 233187242593
BaseRepresentation
bin10010110101010101…
…10010010001110110
3222002122211002201000
421122222302101312
5131201420200042
64351151544130
7505363634502
oct113252622166
928078732630
1010111100022
1143194a8111
121b6222b046
13c51a1942a
146bcc03302
153e2a0674c
hex25aab2476

10111100022 has 16 divisors (see below), whose sum is σ = 22469111280. Its totient is φ = 3370366656.

The previous prime is 10111099997. The next prime is 10111100029. The reversal of 10111100022 is 22000111101.

It is a happy number.

10111100022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×101111000224 (a number of 41 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10111099977 and 10111100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100029) 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, 93621243 + ... + 93621350.

It is an arithmetic number, because the mean of its divisors is an integer number (1404319455).

Almost surely, 210111100022 is an apocalyptic number.

10111100022 is an abundant number, since it is smaller than the sum of its proper divisors (12358011258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111100022 is a wasteful number, since it uses less digits than its factorization.

10111100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187242604 (or 187242598 counting only the distinct ones).

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

Adding to 10111100022 its reverse (22000111101), we get a palindrome (32111211123).

The spelling of 10111100022 in words is "ten billion, one hundred eleven million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 187242593 374485186 561727779 1123455558 1685183337 3370366674 5055550011 10111100022