Search a number
-
+
111010101012 = 22323083613917
BaseRepresentation
bin110011101100010110…
…1111011011100010100
3101121112111002102110200
41213120231323130110
53304322041213022
6122555231420500
711006635201236
oct1473055733424
9347474072420
10111010101012
1143096342a38
1219621084730
13a611862905
145531400256
152d4ab21bac
hex19d8b7b714

111010101012 has 18 divisors (see below), whose sum is σ = 280608866538. Its totient is φ = 37003366992.

The previous prime is 111010101001. The next prime is 111010101017. The reversal of 111010101012 is 210101010111.

It can be written as a sum of positive squares in only one way, i.e., 92705634576 + 18304466436 = 304476^2 + 135294^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 111010100985 and 111010101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111010101017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1541806923 + ... + 1541806994.

Almost surely, 2111010101012 is an apocalyptic number.

111010101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111010101012 is an abundant number, since it is smaller than the sum of its proper divisors (169598765526).

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

111010101012 is a wasteful number, since it uses less digits than its factorization.

111010101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083613927 (or 3083613922 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111010101012 its reverse (210101010111), we get a palindrome (321111111123).

Subtracting 111010101012 from its reverse (210101010111), we obtain a palindrome (99090909099).

The spelling of 111010101012 in words is "one hundred eleven billion, ten million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3083613917 6167227834 9250841751 12334455668 18501683502 27752525253 37003367004 55505050506 111010101012