Search a number
-
+
111120020100 = 22345231144111
BaseRepresentation
bin110011101111101000…
…1001111001010000100
3101121211010220220010000
41213133101033022010
53310033211120400
6123014155401300
711012441405115
oct1473721171204
9347733826100
10111120020100
1143142399861
1219651a53230
13a62b56a1ab
145541c5420c
152d555d5600
hex19df44f284

111120020100 has 180 divisors, whose sum is σ = 361373620608. Its totient is φ = 29536056000.

The previous prime is 111120020057. The next prime is 111120020101. The reversal of 111120020100 is 1020021111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 (111120020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2497045 + ... + 2541155.

Almost surely, 2111120020100 is an apocalyptic number.

111120020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111120020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180686810304).

111120020100 is an abundant number, since it is smaller than the sum of its proper divisors (250253600508).

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

111120020100 is a wasteful number, since it uses less digits than its factorization.

111120020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44448 (or 44432 counting only the distinct ones).

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

Adding to 111120020100 its reverse (1020021111), we get a palindrome (112140041211).

The spelling of 111120020100 in words is "one hundred eleven billion, one hundred twenty million, twenty thousand, one hundred".