Search a number
-
+
113321222331030 = 232572392306332633
BaseRepresentation
bin11001110001000010100111…
…001100111101101010010110
3112212020101212211022012111200
4121301002213030331222112
5104323123330404043110
61041003014552413330
732604121346526450
oct3161024714755226
9485211784265450
10113321222331030
113312029580061a
12108624b40a7246
134b301b761a48c
141ddaac27252d0
15d17b2982d6c0
hex6710a733da96

113321222331030 has 192 divisors, whose sum is σ = 338159836385280. Its totient is φ = 25791708354048.

The previous prime is 113321222331001. The next prime is 113321222331167. The reversal of 113321222331030 is 30133222123311.

113321222331030 is a `hidden beast` number, since 1 + 1 + 3 + 321 + 2 + 2 + 2 + 331 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113321222330985 and 113321222331003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3472579594 + ... + 3472612226.

It is an arithmetic number, because the mean of its divisors is an integer number (1761249147840).

Almost surely, 2113321222331030 is an apocalyptic number.

113321222331030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113321222331030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169079918192640).

113321222331030 is an abundant number, since it is smaller than the sum of its proper divisors (224838614054250).

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

113321222331030 is a wasteful number, since it uses less digits than its factorization.

113321222331030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55955 (or 55952 counting only the distinct ones).

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

Adding to 113321222331030 its reverse (30133222123311), we get a palindrome (143454444454341).

The spelling of 113321222331030 in words is "one hundred thirteen trillion, three hundred twenty-one billion, two hundred twenty-two million, three hundred thirty-one thousand, thirty".