Search a number
-
+
12200020089030 = 23353122711815437
BaseRepresentation
bin1011000110001000100111…
…0111010001100011000110
31121012022101101011102021000
42301202021313101203012
53044341120120322110
641540340054434130
72366264604506064
oct261421167214306
947168341142230
1012200020089030
113983aaa317204
121450542062946
136a65c2c23857
143026ac60d034
1516253d0121c0
hexb1889dd18c6

12200020089030 has 256 divisors, whose sum is σ = 33765563473920. Its totient is φ = 3131292556800.

The previous prime is 12200020089029. The next prime is 12200020089073. The reversal of 12200020089030 is 3098002000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12200020088985 and 12200020089003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2243885472 + ... + 2243890908.

It is an arithmetic number, because the mean of its divisors is an integer number (131896732320).

Almost surely, 212200020089030 is an apocalyptic number.

12200020089030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200020089030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16882781736960).

12200020089030 is an abundant number, since it is smaller than the sum of its proper divisors (21565543384890).

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

12200020089030 is a wasteful number, since it uses less digits than its factorization.

12200020089030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12200020089030 its reverse (3098002000221), we get a palindrome (15298022089251).

The spelling of 12200020089030 in words is "twelve trillion, two hundred billion, twenty million, eighty-nine thousand, thirty".