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113003230320 = 243253713930517
BaseRepresentation
bin110100100111110000…
…1000111010001110000
3101210200101111212212200
41221033201013101300
53322412311332240
6123525111223200
711110216415661
oct1511741072160
9353611455780
10113003230320
1143a19417542
1219a98677b00
13a86b772876
14567ddcb368
152e15ac8930
hex1a4f847470

113003230320 has 240 divisors, whose sum is σ = 392576227680. Its totient is φ = 29107869696.

The previous prime is 113003230271. The next prime is 113003230337. The reversal of 113003230320 is 23032300311.

113003230320 is a `hidden beast` number, since 11 + 300 + 3 + 2 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113003230293 and 113003230302.

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, 3687702 + ... + 3718218.

It is an arithmetic number, because the mean of its divisors is an integer number (1635734282).

Almost surely, 2113003230320 is an apocalyptic number.

113003230320 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 113003230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196288113840).

113003230320 is an abundant number, since it is smaller than the sum of its proper divisors (279572997360).

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

113003230320 is a wasteful number, since it uses less digits than its factorization.

113003230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30712 (or 30703 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 113003230320 its reverse (23032300311), we get a palindrome (136035530631).

The spelling of 113003230320 in words is "one hundred thirteen billion, three million, two hundred thirty thousand, three hundred twenty".