Search a number
-
+
10020122022012 = 22319330763140639
BaseRepresentation
bin1001000111001111110111…
…0100000101000001111100
31022110220200112100212210220
42101303331310011001330
52303132202214201022
633151102553501340
72052633651613434
oct221637564050174
938426615325726
1010020122022012
113213567725a83
121159b72711850
13578b7cbb751b
14268d956d92c4
151259a676385c
hex91cfdd0507c

10020122022012 has 48 divisors (see below), whose sum is σ = 23502357150720. Its totient is φ = 3322603127808.

The previous prime is 10020122021971. The next prime is 10020122022061. The reversal of 10020122022012 is 21022022102001.

10020122022012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10020122021982 and 10020122022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71176789 + ... + 71317427.

It is an arithmetic number, because the mean of its divisors is an integer number (489632440640).

Almost surely, 210020122022012 is an apocalyptic number.

10020122022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020122022012 is an abundant number, since it is smaller than the sum of its proper divisors (13482235128708).

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

10020122022012 is a wasteful number, since it uses less digits than its factorization.

10020122022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171602 (or 171600 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10020122022012 its reverse (21022022102001), we get a palindrome (31042144124013).

The spelling of 10020122022012 in words is "ten trillion, twenty billion, one hundred twenty-two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 193 386 579 772 1158 2316 30763 61526 92289 123052 140639 184578 281278 369156 421917 562556 843834 1687668 5937259 11874518 17811777 23749036 27143327 35623554 54286654 71247108 81429981 108573308 162859962 325719924 4326477557 8652955114 12979432671 17305910228 25958865342 51917730684 835010168501 1670020337002 2505030505503 3340040674004 5010061011006 10020122022012