Search a number
-
+
112774420000 = 255411246601
BaseRepresentation
bin110100100000111100…
…0010001011000100000
3101210002102222010010101
41221001320101120200
53321430222420000
6123450255112144
711101440516334
oct1510170213040
9353072863111
10112774420000
1143911246a00
1219a33b12654
13a83323bc48
14565b8697c4
152e0097ce6a
hex1a41e11620

112774420000 has 180 divisors, whose sum is σ = 304963441398. Its totient is φ = 41008000000.

The previous prime is 112774419983. The next prime is 112774420043. The reversal of 112774420000 is 24477211.

It can be written as a sum of positive squares in 5 ways, for example, as 1509477904 + 111264942096 = 38852^2 + 333564^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2396700 + ... + 2443300.

Almost surely, 2112774420000 is an apocalyptic number.

112774420000 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 112774420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152481720699).

112774420000 is an abundant number, since it is smaller than the sum of its proper divisors (192189021398).

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

112774420000 is an equidigital number, since it uses as much as digits as its factorization.

112774420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46653 (or 46619 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 112774420000 its reverse (24477211), we get a palindrome (112798897211).

The spelling of 112774420000 in words is "one hundred twelve billion, seven hundred seventy-four million, four hundred twenty thousand".