Search a number
-
+
120021120102 = 231319271298841
BaseRepresentation
bin110111111000111010…
…0001111010001100110
3102110210110220121211110
41233301310033101212
53431300401320402
6131045325045450
711446143455022
oct1576164172146
9373713817743
10120021120102
114699a87aa54
121b3169b6886
13b4196a0580
145b48083382
1531c6c7856c
hex1bf1d0f466

120021120102 has 64 divisors (see below), whose sum is σ = 273117680640. Its totient is φ = 34856697600.

The previous prime is 120021120073. The next prime is 120021120103. The reversal of 120021120102 is 201021120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021120103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252202 + ... + 551042.

It is an arithmetic number, because the mean of its divisors is an integer number (4267463760).

Almost surely, 2120021120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120021120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136558840320).

120021120102 is an abundant number, since it is smaller than the sum of its proper divisors (153096560538).

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

120021120102 is a wasteful number, since it uses less digits than its factorization.

120021120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299149.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120021120102 its reverse (201021120021), we get a palindrome (321042240123).

The spelling of 120021120102 in words is "one hundred twenty billion, twenty-one million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 271 494 542 741 813 1482 1626 3523 5149 7046 10298 10569 15447 21138 30894 66937 133874 200811 298841 401622 597682 896523 1793046 3884933 5677979 7769866 11355958 11654799 17033937 23309598 34067874 73813727 80985911 147627454 161971822 221441181 242957733 442882362 485915466 1052816843 1538732309 2105633686 3077464618 3158450529 4616196927 6316901058 9232393854 20003520017 40007040034 60010560051 120021120102