Search a number
-
+
100120022023200 = 2535241716675843
BaseRepresentation
bin10110110000111100000010…
…010110001111110000100000
3111010111101021110221000221020
4112300330002112033300200
5101110331301114220300
6552534300403125440
730042301323411234
oct2660740226176040
9433441243830836
10100120022023200
11299a0732343693
12b28bb20973880
1343b337ba7159a
141aa1b9904c5c4
15b895416758a0
hex5b0f0258fc20

100120022023200 has 72 divisors (see below), whose sum is σ = 325890671693328. Its totient is φ = 26698672538880.

The previous prime is 100120022023159. The next prime is 100120022023237. The reversal of 100120022023200 is 2320220021001.

It is a happy number.

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 100120022023200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20858335522 + ... + 20858340321.

It is an arithmetic number, because the mean of its divisors is an integer number (4526259329074).

Almost surely, 2100120022023200 is an apocalyptic number.

100120022023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120022023200 is an abundant number, since it is smaller than the sum of its proper divisors (225770649670128).

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

100120022023200 is a wasteful number, since it uses less digits than its factorization.

100120022023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41716675866 (or 41716675853 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100120022023200 its reverse (2320220021001), we get a palindrome (102440242044201).

The spelling of 100120022023200 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 41716675843 83433351686 125150027529 166866703372 208583379215 250300055058 333733406744 417166758430 500600110116 625750137645 667466813488 834333516860 1001200220232 1042916896075 1251500275290 1334933626976 1668667033720 2002400440464 2085833792150 2503000550580 3128750688225 3337334067440 4004800880928 4171667584300 5006001101160 6257501376450 6674668134880 8343335168600 10012002202320 12515002752900 16686670337200 20024004404640 25030005505800 33373340674400 50060011011600 100120022023200