Search a number
-
+
100110012221220 = 22351749179538811
BaseRepresentation
bin10110110000110010101101…
…101101111000011100100100
3111010110102102212201102000120
4112300302231231320130210
5101110200301112034340
6552525523230241540
730041465266453131
oct2660625555703444
9433412385642016
10100110012221220
1129997466044271
12b289ba86562b0
1343b2445031731
141aa14c9897588
15b891579cd4d0
hex5b0cadb78724

100110012221220 has 48 divisors (see below), whose sum is σ = 280309666125888. Its totient is φ = 26695847839360.

The previous prime is 100110012221183. The next prime is 100110012221227. The reversal of 100110012221220 is 22122210011001.

100110012221220 is digitally balanced in base 4, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100110012221220.

It is not an unprimeable number, because it can be changed into a prime (100110012221227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5725615 + ... + 15264425.

It is an arithmetic number, because the mean of its divisors is an integer number (5839784710956).

Almost surely, 2100110012221220 is an apocalyptic number.

100110012221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110012221220 is an abundant number, since it is smaller than the sum of its proper divisors (180199653904668).

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

100110012221220 is a wasteful number, since it uses less digits than its factorization.

100110012221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713740 (or 9713738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100110012221220 its reverse (22122210011001), we get a palindrome (122232222232221).

The spelling of 100110012221220 in words is "one hundred trillion, one hundred ten billion, twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 174917 349834 524751 699668 874585 1049502 1749170 2099004 2623755 3498340 5247510 9538811 10495020 19077622 28616433 38155244 47694055 57232866 95388110 114465732 143082165 190776220 286164330 572328660 1668500203687 3337000407374 5005500611061 6674000814748 8342501018435 10011001222122 16685002036870 20022002444244 25027503055305 33370004073740 50055006110610 100110012221220