Search a number
-
+
113320301232312 = 233219107787983701
BaseRepresentation
bin11001110001000001110000…
…010011010000000010111000
3112212020022111122002112121100
4121301001300103100002320
5104323114434103413222
61041002343330211400
732604056463364446
oct3161016023200270
9485208448075540
10113320301232312
113311a962878509
1210862297723b60
134b3009b847555
141ddaa36275b96
15d17ac3a354ac
hex6710704d00b8

113320301232312 has 192 divisors, whose sum is σ = 326496202531200. Its totient is φ = 35405834054400.

The previous prime is 113320301232301. The next prime is 113320301232353. The reversal of 113320301232312 is 213232103023311.

113320301232312 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 20 + 301 + 2 + 323 + 12 = 666.

It is a super-3 number, since 3×1133203012323123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 114706062 + ... + 115689762.

It is an arithmetic number, because the mean of its divisors is an integer number (1700501054850).

Almost surely, 2113320301232312 is an apocalyptic number.

113320301232312 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 113320301232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163248101265600).

113320301232312 is an abundant number, since it is smaller than the sum of its proper divisors (213175901298888).

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

113320301232312 is a wasteful number, since it uses less digits than its factorization.

113320301232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984626 (or 984619 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113320301232312 its reverse (213232103023311), we get a palindrome (326552404255623).

The spelling of 113320301232312 in words is "one hundred thirteen trillion, three hundred twenty billion, three hundred one million, two hundred thirty-two thousand, three hundred twelve".