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113002313232 = 24317293472639
BaseRepresentation
bin110100100111101110…
…1100111011000010000
3101210200022210021212110
41221033131213120100
53322412043010412
6123525035425320
711110205546154
oct1511735473020
9353608707773
10113002313232
1143a18950516
1219a982b5240
13a86b511303
14567dc2d064
152e15996d3c
hex1a4f767610

113002313232 has 80 divisors (see below), whose sum is σ = 310150149120. Its totient is φ = 35330635776.

The previous prime is 113002313231. The next prime is 113002313243. The reversal of 113002313232 is 232313200311.

113002313232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 113002313199 and 113002313208.

It is not an unprimeable number, because it can be changed into a prime (113002313231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2769 + ... + 475407.

It is an arithmetic number, because the mean of its divisors is an integer number (3876876864).

Almost surely, 2113002313232 is an apocalyptic number.

113002313232 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 113002313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155075074560).

113002313232 is an abundant number, since it is smaller than the sum of its proper divisors (197147835888).

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

113002313232 is a wasteful number, since it uses less digits than its factorization.

113002313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472960 (or 472954 counting only the distinct ones).

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

Adding to 113002313232 its reverse (232313200311), we get a palindrome (345315513543).

The spelling of 113002313232 in words is "one hundred thirteen billion, two million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 293 408 586 816 879 1172 1758 2344 3516 4688 4981 7032 9962 14064 14943 19924 29886 39848 59772 79696 119544 239088 472639 945278 1417917 1890556 2835834 3781112 5671668 7562224 8034863 11343336 16069726 22686672 24104589 32139452 48209178 64278904 96418356 128557808 138483227 192836712 276966454 385673424 415449681 553932908 830899362 1107865816 1661798724 2215731632 2354214859 3323597448 4708429718 6647194896 7062644577 9416859436 14125289154 18833718872 28250578308 37667437744 56501156616 113002313232