Search a number
-
+
100244442120 = 2335835370351
BaseRepresentation
bin101110101011100001…
…0001100110000001000
3100120202012121021210120
41131113002030300020
53120300034121440
6114015054143240
710146102461514
oct1352702146010
9316665537716
10100244442120
1139571413089
12175177b1b20
1395b7357454
144bcd6d1144
15291a921dd0
hex175708cc08

100244442120 has 32 divisors (see below), whose sum is σ = 300733326720. Its totient is φ = 26731851200.

The previous prime is 100244442091. The next prime is 100244442127. The reversal of 100244442120 is 21244442001.

100244442120 is digitally balanced in base 3, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (100244442127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417685056 + ... + 417685295.

It is an arithmetic number, because the mean of its divisors is an integer number (9397916460).

Almost surely, 2100244442120 is an apocalyptic number.

100244442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100244442120 is an abundant number, since it is smaller than the sum of its proper divisors (200488884600).

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

100244442120 is a wasteful number, since it uses less digits than its factorization.

100244442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835370365 (or 835370361 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100244442120 its reverse (21244442001), we get a palindrome (121488884121).

The spelling of 100244442120 in words is "one hundred billion, two hundred forty-four million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 835370351 1670740702 2506111053 3341481404 4176851755 5012222106 6682962808 8353703510 10024444212 12530555265 16707407020 20048888424 25061110530 33414814040 50122221060 100244442120