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71116122 = 23711592609
BaseRepresentation
bin1000011110100…
…10010101011010
311221211001222110
410033102111122
5121201203442
611020133150
71522322430
oct417222532
9157731873
1071116122
1137163660
121b9971b6
131196c85c
149632d50
15639b69c
hex43d255a

71116122 has 64 divisors (see below), whose sum is σ = 180403200. Its totient is φ = 18151680.

The previous prime is 71116103. The next prime is 71116127. The reversal of 71116122 is 22161117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71116127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25954 + ... + 28562.

It is an arithmetic number, because the mean of its divisors is an integer number (2818800).

Almost surely, 271116122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71116122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90201600).

71116122 is an abundant number, since it is smaller than the sum of its proper divisors (109287078).

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

71116122 is a wasteful number, since it uses less digits than its factorization.

71116122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691.

The product of its digits is 168, while the sum is 21.

The square root of 71116122 is about 8433.0375310442. The cubic root of 71116122 is about 414.3073984800.

Adding to 71116122 its reverse (22161117), we get a palindrome (93277239).

The spelling of 71116122 in words is "seventy-one million, one hundred sixteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1298 1947 2478 2609 3894 4543 5218 7827 9086 13629 15654 18263 27258 28699 36526 54789 57398 86097 109578 153931 172194 200893 307862 401786 461793 602679 923586 1077517 1205358 1693241 2155034 3232551 3386482 5079723 6465102 10159446 11852687 23705374 35558061 71116122