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113020000200 = 233252379071871
BaseRepresentation
bin110100101000010000…
…1000101011111001000
3101210201120001212211100
41221100201011133020
53322431110001300
6123530510501400
711110512102522
oct1512041053710
9353646055740
10113020000200
1143a27930a48
1219aa2204860
13a872094983
145682314a12
152e172dc700
hex1a508457c8

113020000200 has 288 divisors, whose sum is σ = 390455544960. Its totient is φ = 29276121600.

The previous prime is 113020000199. The next prime is 113020000267. The reversal of 113020000200 is 2000020311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60405265 + ... + 60407135.

It is an arithmetic number, because the mean of its divisors is an integer number (1355748420).

Almost surely, 2113020000200 is an apocalyptic number.

113020000200 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 113020000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195227772480).

113020000200 is an abundant number, since it is smaller than the sum of its proper divisors (277435544760).

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

113020000200 is a wasteful number, since it uses less digits than its factorization.

113020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 113020000200 its reverse (2000020311), we get a palindrome (115020020511).

The spelling of 113020000200 in words is "one hundred thirteen billion, twenty million, two hundred", and thus it is an aban number.