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10716234300 = 22325253271829
BaseRepresentation
bin10011111101011110…
…01100001000111100
31000122211111002212200
421332233030020330
5133421323444200
64531210031500
7526362326412
oct117657141074
930584432780
1010716234300
1145aa042492
1220b0a18590
13101a1c1c55
147393252b2
1542abda800
hex27ebcc23c

10716234300 has 216 divisors, whose sum is σ = 34390923840. Its totient is φ = 2790028800.

The previous prime is 10716234283. The next prime is 10716234301. The reversal of 10716234300 is 343261701.

10716234300 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 623 + 4 + 30 + 0 = 666.

It is a super-2 number, since 2×107162343002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10716234301) 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 71 ways as a sum of consecutive naturals, for example, 12926286 + ... + 12927114.

It is an arithmetic number, because the mean of its divisors is an integer number (159217240).

Almost surely, 210716234300 is an apocalyptic number.

10716234300 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 10716234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195461920).

10716234300 is an abundant number, since it is smaller than the sum of its proper divisors (23674689540).

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

10716234300 is a wasteful number, since it uses less digits than its factorization.

10716234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10716234300 in words is "ten billion, seven hundred sixteen million, two hundred thirty-four thousand, three hundred".