Search a number
-
+
100120241220 = 22351987824773
BaseRepresentation
bin101110100111110100…
…0011010010001000100
3100120102112220020012020
41131033220122101010
53120021240204340
6113554500123140
710143034002666
oct1351750322104
9316375806166
10100120241220
11395082a210a
12174a20964b0
1395976bc3ac
144bbb000536
15290ea8b9d0
hex174fa1a444

100120241220 has 48 divisors (see below), whose sum is σ = 295091240640. Its totient is φ = 25293534336.

The previous prime is 100120241213. The next prime is 100120241233. The reversal of 100120241220 is 22142021001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100120241220.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43911247 + ... + 43913526.

It is an arithmetic number, because the mean of its divisors is an integer number (6147734180).

Almost surely, 2100120241220 is an apocalyptic number.

100120241220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120241220 is an abundant number, since it is smaller than the sum of its proper divisors (194970999420).

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

100120241220 is a wasteful number, since it uses less digits than its factorization.

100120241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87824804 (or 87824802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100120241220 its reverse (22142021001), we get a palindrome (122262262221).

The spelling of 100120241220 in words is "one hundred billion, one hundred twenty million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 87824773 175649546 263474319 351299092 439123865 526948638 878247730 1053897276 1317371595 1668670687 1756495460 2634743190 3337341374 5006012061 5269486380 6674682748 8343353435 10012024122 16686706870 20024048244 25030060305 33373413740 50060120610 100120241220