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81313050 = 235272132337
BaseRepresentation
bin1001101100010…
…11110100011010
312200000010112110
410312023310122
5131304004200
612022453150
72005102200
oct466136432
9180003473
1081313050
1141998775
12232941b6
1313accc40
14ab29070
157212b50
hex4d8bd1a

81313050 has 288 divisors, whose sum is σ = 270732672. Its totient is φ = 15966720.

The previous prime is 81313007. The next prime is 81313081. The reversal of 81313050 is 5031318.

It is a happy number.

It is a super-2 number, since 2×813130502 = 13223624200605000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2197632 + ... + 2197668.

It is an arithmetic number, because the mean of its divisors is an integer number (940044).

Almost surely, 281313050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81313050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366336).

81313050 is an abundant number, since it is smaller than the sum of its proper divisors (189419622).

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

81313050 is a wasteful number, since it uses less digits than its factorization.

81313050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 81313050 is about 9017.3748951677. The cubic root of 81313050 is about 433.2315572945.

Adding to 81313050 its reverse (5031318), we get a palindrome (86344368).

The spelling of 81313050 in words is "eighty-one million, three hundred thirteen thousand, fifty".