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113217078780 = 2233513191077933
BaseRepresentation
bin110100101110001000…
…0111000010111111100
3101211020021220111211000
41221130100320113330
53323332033010110
6124002230530300
711115424201611
oct1513420702774
9354207814730
10113217078780
11440190a9003
1219b38206990
13a8a3b68310
1456a0576508
152e2976b1c0
hex1a5c4385fc

113217078780 has 384 divisors, whose sum is σ = 403072588800. Its totient is φ = 26151994368.

The previous prime is 113217078773. The next prime is 113217078787. The reversal of 113217078780 is 87870712311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113217078773) and next prime (113217078787).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113217078787) 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 127 ways as a sum of consecutive naturals, for example, 14267694 + ... + 14275626.

It is an arithmetic number, because the mean of its divisors is an integer number (1049668200).

Almost surely, 2113217078780 is an apocalyptic number.

113217078780 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 113217078780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201536294400).

113217078780 is an abundant number, since it is smaller than the sum of its proper divisors (289855510020).

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

113217078780 is a wasteful number, since it uses less digits than its factorization.

113217078780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 113217078780 in words is "one hundred thirteen billion, two hundred seventeen million, seventy-eight thousand, seven hundred eighty".