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113233102320 = 243513313793089
BaseRepresentation
bin110100101110100111…
…0000000010111110000
3101211021102001120222110
41221131032000113300
53323400133233240
6124004002205320
711116010326512
oct1513516002760
9354242046873
10113233102320
11440271527a8
1219b41653840
13a8a72887c0
1456a2747bb2
152e2ad83c80
hex1a5d3805f0

113233102320 has 320 divisors, whose sum is σ = 391374950400. Its totient is φ = 26893762560.

The previous prime is 113233102313. The next prime is 113233102331. The reversal of 113233102320 is 23201332311.

It is a super-2 number, since 2×1132331023202 (a number of 23 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 36655336 + ... + 36658424.

It is an arithmetic number, because the mean of its divisors is an integer number (1223046720).

Almost surely, 2113233102320 is an apocalyptic number.

113233102320 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 113233102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195687475200).

113233102320 is an abundant number, since it is smaller than the sum of its proper divisors (278141848080).

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

113233102320 is a wasteful number, since it uses less digits than its factorization.

113233102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 113233102320 its reverse (23201332311), we get a palindrome (136434434631).

The spelling of 113233102320 in words is "one hundred thirteen billion, two hundred thirty-three million, one hundred two thousand, three hundred twenty".