Search a number
-
+
71113313232 = 24331323607907
BaseRepresentation
bin100001000111010101…
…1110000101111010000
320210120000020121112000
41002032223300233100
52131120002010412
652400301034000
75065153121553
oct1021653605720
9223500217460
1071113313232
112818267a855
1211947855900
136923ca9c90
14362881c69a
151cb32264dc
hex108eaf0bd0

71113313232 has 320 divisors, whose sum is σ = 230011944960. Its totient is φ = 20872152576.

The previous prime is 71113313213. The next prime is 71113313233. The reversal of 71113313232 is 23231331117.

It is a happy number.

71113313232 is a `hidden beast` number, since 7 + 1 + 1 + 1 + 331 + 323 + 2 = 666.

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 = 71113313196 and 71113313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71113313233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78404523 + ... + 78405429.

It is an arithmetic number, because the mean of its divisors is an integer number (718787328).

Almost surely, 271113313232 is an apocalyptic number.

71113313232 is a gapful number since it is divisible by the number (72) 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 71113313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115005972480).

71113313232 is an abundant number, since it is smaller than the sum of its proper divisors (158898631728).

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

71113313232 is a wasteful number, since it uses less digits than its factorization.

71113313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1555 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

Adding to 71113313232 its reverse (23231331117), we get a palindrome (94344644349).

The spelling of 71113313232 in words is "seventy-one billion, one hundred thirteen million, three hundred thirteen thousand, two hundred thirty-two".