Search a number
-
+
120302022120 = 23357143216693
BaseRepresentation
bin111000000001010001…
…1110010110111101000
3102111112001110220221220
41300002203302313220
53432334304201440
6131133241502040
711456124213240
oct1600243626750
9374461426856
10120302022120
114702439a885
121b394aa1920
13b462942697
145b734c4b20
1531e17638d0
hex1c028f2de8

120302022120 has 64 divisors (see below), whose sum is σ = 412464078720. Its totient is φ = 27497604864.

The previous prime is 120302022119. The next prime is 120302022143. The reversal of 120302022120 is 21220203021.

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 120302022120.

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, 71607507 + ... + 71609186.

It is an arithmetic number, because the mean of its divisors is an integer number (6444751230).

Almost surely, 2120302022120 is an apocalyptic number.

120302022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120302022120 is an abundant number, since it is smaller than the sum of its proper divisors (292162056600).

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

120302022120 is a wasteful number, since it uses less digits than its factorization.

120302022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143216714 (or 143216710 counting only the distinct ones).

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

Adding to 120302022120 its reverse (21220203021), we get a palindrome (141522225141).

The spelling of 120302022120 in words is "one hundred twenty billion, three hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 143216693 286433386 429650079 572866772 716083465 859300158 1002516851 1145733544 1432166930 1718600316 2005033702 2148250395 2864333860 3007550553 3437200632 4010067404 4296500790 5012584255 5728667720 6015101106 8020134808 8593001580 10025168510 12030202212 15037752765 17186003160 20050337020 24060404424 30075505530 40100674040 60151011060 120302022120