Search a number
-
+
10120220112 = 243210837919
BaseRepresentation
bin10010110110011011…
…00100110111010000
3222010021222110010010
421123031210313100
5131211234020422
64352115234520
7505534310622
oct113315446720
928107873103
1010120220112
114323667182
121b652a8a40
13c53890632
146c00d8c12
153e3708b0c
hex25b364dd0

10120220112 has 20 divisors (see below), whose sum is σ = 26143902080. Its totient is φ = 3373406688.

The previous prime is 10120220111. The next prime is 10120220147. The reversal of 10120220112 is 21102202101.

10120220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120220111) 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 3 ways as a sum of consecutive naturals, for example, 105418912 + ... + 105419007.

It is an arithmetic number, because the mean of its divisors is an integer number (1307195104).

Almost surely, 210120220112 is an apocalyptic number.

10120220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120220112 is an abundant number, since it is smaller than the sum of its proper divisors (16023681968).

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

10120220112 is a wasteful number, since it uses less digits than its factorization.

10120220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210837930 (or 210837924 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120220112 its reverse (21102202101), we get a palindrome (31222422213).

The spelling of 10120220112 in words is "ten billion, one hundred twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 210837919 421675838 632513757 843351676 1265027514 1686703352 2530055028 3373406704 5060110056 10120220112