Search a number
-
+
1053022322240 = 2657291392839
BaseRepresentation
bin11110101001011010000…
…01010111111001000000
310201200000221021110210122
433110231001113321000
5114223042203302430
62123430214515412
7136035606024620
oct17245501277100
93650027243718
101053022322240
11376647715419
121500bb065b68
13783b8237205
1438d76310880
151c5d160dee5
hexf52d057e40

1053022322240 has 336 divisors, whose sum is σ = 2989583251200. Its totient is φ = 345666392064.

The previous prime is 1053022322239. The next prime is 1053022322243. The reversal of 1053022322240 is 422232203501.

It is a super-2 number, since 2×10530223222402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053022322243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255091741 + ... + 1255092579.

It is an arithmetic number, because the mean of its divisors is an integer number (8897569200).

Almost surely, 21053022322240 is an apocalyptic number.

1053022322240 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 1053022322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494791625600).

1053022322240 is an abundant number, since it is smaller than the sum of its proper divisors (1936560928960).

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

1053022322240 is an equidigital number, since it uses as much as digits as its factorization.

1053022322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 1053022322240 its reverse (422232203501), we get a palindrome (1475254525741).

The spelling of 1053022322240 in words is "one trillion, fifty-three billion, twenty-two million, three hundred twenty-two thousand, two hundred forty".