Search a number
-
+
113320333012302 = 23413593173797591
BaseRepresentation
bin11001110001000001110010…
…001100011110110101001110
3112212020022120211220010120000
4121301001302030132311032
5104323120020222343202
61041002350423305130
732604060330455463
oct3161016214366516
9485208524803500
10113320333012302
113311a979804269
12108622a62ab1a6
134b300a52c3790
141ddaa3a58966a
15d17ac671191c
hex67107231ed4e

113320333012302 has 320 divisors, whose sum is σ = 279738877017600. Its totient is φ = 34074042266880.

The previous prime is 113320333012261. The next prime is 113320333012373. The reversal of 113320333012302 is 203210333023311.

113320333012302 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 20 + 3 + 330 + 1 + 2 + 302 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14928244527 + ... + 14928252117.

It is an arithmetic number, because the mean of its divisors is an integer number (874183990680).

Almost surely, 2113320333012302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113320333012302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139869438508800).

113320333012302 is an abundant number, since it is smaller than the sum of its proper divisors (166418544005298).

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

113320333012302 is a wasteful number, since it uses less digits than its factorization.

113320333012302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 113320333012302 its reverse (203210333023311), we get a palindrome (316530666035613).

The spelling of 113320333012302 in words is "one hundred thirteen trillion, three hundred twenty billion, three hundred thirty-three million, twelve thousand, three hundred two".