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10716222132 = 22337112415347
BaseRepresentation
bin10011111101011110…
…01001001010110100
31000122211110111012000
421332233021022310
5133421323102012
64531205455300
7526362246060
oct117657111264
930584414160
1010716222132
1145aa034330
1220b0a11530
13101a1b9555
14739320aa0
1542abd6ddc
hex27ebc92b4

10716222132 has 192 divisors, whose sum is σ = 34788526080. Its totient is φ = 2771366400.

The previous prime is 10716222067. The next prime is 10716222137. The reversal of 10716222132 is 23122261701.

10716222132 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 622 + 2 + 1 + 32 = 666.

It is a super-2 number, since 2×107162221322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10716222096 and 10716222105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10716222137) 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 63 ways as a sum of consecutive naturals, for example, 2001483 + ... + 2006829.

It is an arithmetic number, because the mean of its divisors is an integer number (181190240).

Almost surely, 210716222132 is an apocalyptic number.

10716222132 is a gapful number since it is divisible by the number (12) 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 10716222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17394263040).

10716222132 is an abundant number, since it is smaller than the sum of its proper divisors (24072303948).

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

10716222132 is a wasteful number, since it uses less digits than its factorization.

10716222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10716222132 its reverse (23122261701), we get a palindrome (33838483833).

The spelling of 10716222132 in words is "ten billion, seven hundred sixteen million, two hundred twenty-two thousand, one hundred thirty-two".