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113112332200 = 235271710744417
BaseRepresentation
bin110100101011000000…
…1010011011110101000
3101210221222210211112001
41221112001103132220
53323123224112300
6123544005500344
711113012650160
oct1512601233650
9353858724461
10113112332200
1143a74a6538a
1219b091116b4
13a8882521aa
1456906ab5a0
152e2047a16a
hex1a560537a8

113112332200 has 192 divisors, whose sum is σ = 321216762240. Its totient is φ = 36158177280.

The previous prime is 113112332197. The next prime is 113112332231. The reversal of 113112332200 is 2233211311.

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, 2524392 + ... + 2568808.

It is an arithmetic number, because the mean of its divisors is an integer number (1673003970).

Almost surely, 2113112332200 is an apocalyptic number.

113112332200 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 113112332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160608381120).

113112332200 is an abundant number, since it is smaller than the sum of its proper divisors (208104430040).

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

113112332200 is a wasteful number, since it uses less digits than its factorization.

113112332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44564 (or 44555 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 113112332200 its reverse (2233211311), we get a palindrome (115345543511).

The spelling of 113112332200 in words is "one hundred thirteen billion, one hundred twelve million, three hundred thirty-two thousand, two hundred".