Search a number
-
+
1030291060320 = 25345198394987
BaseRepresentation
bin11101111111000100010…
…00011111011001100000
310122111100202101201120000
432333202020133121200
5113340014002412240
62105150441020000
7134302400342154
oct16774210373140
93574322351500
101030291060320
11367a42497945
12147816484600
1376204a4b682
1437c1b3b9064
151bc00bd5430
hexefe221f660

1030291060320 has 480 divisors, whose sum is σ = 3832771219200. Its totient is φ = 259921695744.

The previous prime is 1030291060243. The next prime is 1030291060333. The reversal of 1030291060320 is 230601920301.

1030291060320 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 29 + 10 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10302910603202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 206592867 + ... + 206597853.

It is an arithmetic number, because the mean of its divisors is an integer number (7984940040).

Almost surely, 21030291060320 is an apocalyptic number.

1030291060320 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 1030291060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916385609600).

1030291060320 is an abundant number, since it is smaller than the sum of its proper divisors (2802480158880).

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

1030291060320 is a wasteful number, since it uses less digits than its factorization.

1030291060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1030291060320 its reverse (230601920301), we get a palindrome (1260892980621).

The spelling of 1030291060320 in words is "one trillion, thirty billion, two hundred ninety-one million, sixty thousand, three hundred twenty".