Search a number
-
+
120020102201013 = 3726144351301789
BaseRepresentation
bin11011010010100001011011…
…100011101011111010110101
3120201221210212021121122121220
4123102201123203223322311
5111212402132130413023
61103132250200500553
734165111006111200
oct3322413343537265
9521853767548556
10120020102201013
113527326a858383
121156484947a759
1351c7b02038b81
14218d00ab5a937
15dd1ee935d3e3
hex6d285b8ebeb5

120020102201013 has 48 divisors (see below), whose sum is σ = 189210219770880. Its totient is φ = 67456860912000.

The previous prime is 120020102200993. The next prime is 120020102201053. The reversal of 120020102201013 is 310102201020021.

It is not a de Polignac number, because 120020102201013 - 213 = 120020102192821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120020102200983 and 120020102201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020102201053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397544523 + ... + 397846311.

It is an arithmetic number, because the mean of its divisors is an integer number (3941879578560).

Almost surely, 2120020102201013 is an apocalyptic number.

It is an amenable number.

120020102201013 is a deficient number, since it is larger than the sum of its proper divisors (69190117569867).

120020102201013 is a wasteful number, since it uses less digits than its factorization.

120020102201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346218 (or 346211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120020102201013 its reverse (310102201020021), we get a palindrome (430122303221034).

The spelling of 120020102201013 in words is "one hundred twenty trillion, twenty billion, one hundred two million, two hundred one thousand, thirteen".

Divisors: 1 3 7 21 49 61 147 183 427 1281 2989 8967 44351 133053 301789 310457 905367 931371 2112523 2173199 2705411 6337569 6519597 8116233 14787661 18409129 18937877 44362983 55227387 56813631 128863903 132565139 386591709 397695417 902047321 2706141963 13384643939 40153931817 93692507573 281077522719 655847553011 816463280279 1967542659033 2449389840837 5715242961953 17145728885859 40006700733671 120020102201013