Search a number
-
+
1021103131320 = 233253319918647
BaseRepresentation
bin11101101101111100111…
…11010100101010111000
310121121122102200120102100
432312332133110222320
5113212204400200240
62101031023503400
7133525613260146
oct16667637245270
93547572616370
101021103131320
11364058108898
12145a91457b60
137539c37c4ac
14375c9044596
151b864285e30
hexedbe7d4ab8

1021103131320 has 192 divisors, whose sum is σ = 3332355287040. Its totient is φ = 271166227200.

The previous prime is 1021103131303. The next prime is 1021103131379. The reversal of 1021103131320 is 231313011201.

1021103131320 is a `hidden beast` number, since 1 + 0 + 21 + 10 + 313 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021103131293 and 1021103131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118083237 + ... + 118091883.

It is an arithmetic number, because the mean of its divisors is an integer number (17356017120).

Almost surely, 21021103131320 is an apocalyptic number.

1021103131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021103131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666177643520).

1021103131320 is an abundant number, since it is smaller than the sum of its proper divisors (2311252155720).

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

1021103131320 is a wasteful number, since it uses less digits than its factorization.

1021103131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1021103131320 its reverse (231313011201), we get a palindrome (1252416142521).

The spelling of 1021103131320 in words is "one trillion, twenty-one billion, one hundred three million, one hundred thirty-one thousand, three hundred twenty".