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113302321020 = 223357127236017
BaseRepresentation
bin110100110000101011…
…0000011011101111100
3101211110020022021012000
41221201112003131330
53324020343233040
6124014513542300
711120510560350
oct1514126033574
9354406267160
10113302321020
114406222a839
1219b60874990
13a8b8712805
1456aba05460
152e31ea8130
hex1a6158377c

113302321020 has 192 divisors, whose sum is σ = 406026485760. Its totient is φ = 25693645824.

The previous prime is 113302321019. The next prime is 113302321049. The reversal of 113302321020 is 20123203311.

113302321020 is a `hidden beast` number, since 1 + 1 + 330 + 232 + 102 + 0 = 666.

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 = 113302320984 and 113302321002.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 362052 + ... + 598068.

It is an arithmetic number, because the mean of its divisors is an integer number (2114721280).

Almost surely, 2113302321020 is an apocalyptic number.

113302321020 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 113302321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203013242880).

113302321020 is an abundant number, since it is smaller than the sum of its proper divisors (292724164740).

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

113302321020 is a wasteful number, since it uses less digits than its factorization.

113302321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236169 (or 236161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113302321020 its reverse (20123203311), we get a palindrome (133425524331).

The spelling of 113302321020 in words is "one hundred thirteen billion, three hundred two million, three hundred twenty-one thousand, twenty".