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113313231221300 = 225211227742178017
BaseRepresentation
bin11001110000111011001010…
…111001010011001000110100
3112212012122020220121202202122
4121300323022321103020310
5104323010444143040200
61040555214011255112
732603416334314445
oct3160731271231064
9485178226552678
10113313231221300
1133117964a55600
1210860a43a4a498
134b2c512b9aa96
141dda5652d32cc
15d1780cedc385
hex670ecae53234

113313231221300 has 216 divisors, whose sum is σ = 271349357784792. Its totient is φ = 41041201766400.

The previous prime is 113313231221251. The next prime is 113313231221303. The reversal of 113313231221300 is 3122132313311.

It can be written as a sum of positive squares in 12 ways, for example, as 21579629670544 + 91733601550756 = 4645388^2 + 9577766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113313231221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313231221303) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 14134114892 + ... + 14134122908.

Almost surely, 2113313231221300 is an apocalyptic number.

113313231221300 is a gapful number since it is divisible by the number (10) 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 113313231221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135674678892396).

113313231221300 is an abundant number, since it is smaller than the sum of its proper divisors (158036126563492).

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

113313231221300 is a wasteful number, since it uses less digits than its factorization.

113313231221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 113313231221300 its reverse (3122132313311), we get a palindrome (116435363534611).

The spelling of 113313231221300 in words is "one hundred thirteen trillion, three hundred thirteen billion, two hundred thirty-one million, two hundred twenty-one thousand, three hundred".