Search a number
-
+
781130222100 = 22325229312274253
BaseRepresentation
bin10110101110111101111…
…11010100101000010100
32202200020022022200222200
423113132333110220110
5100244223314101400
61354502443324500
7110302064223204
oct13273677245024
92680208280880
10781130222100
11281303712328
1210747ab20730
13588777a4817
1429b42208404
15154bb8cbb00
hexb5defd4a14

781130222100 has 432 divisors, whose sum is σ = 2626676881920. Its totient is φ = 193727923200.

The previous prime is 781130222099. The next prime is 781130222101. The reversal of 781130222100 is 1222031187.

It is an interprime number because it is at equal distance from previous prime (781130222099) and next prime (781130222101).

It is a super-2 number, since 2×7811302221002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781130222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183663574 + ... + 183667826.

It is an arithmetic number, because the mean of its divisors is an integer number (6080270560).

Almost surely, 2781130222100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 781130222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313338440960).

781130222100 is an abundant number, since it is smaller than the sum of its proper divisors (1845546659820).

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

781130222100 is a wasteful number, since it uses less digits than its factorization.

781130222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 781130222100 its reverse (1222031187), we get a palindrome (782352253287).

The spelling of 781130222100 in words is "seven hundred eighty-one billion, one hundred thirty million, two hundred twenty-two thousand, one hundred".