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112113221220 = 22325711133767251
BaseRepresentation
bin110100001101001110…
…1111111111001100100
3101201101100210201220200
41220122131333321210
53314101441034340
6123300515230500
711046161441160
oct1503235777144
9351340721820
10112113221220
1143601a99530
121988a5a8430
13a759266870
1455d7b11ca0
152db28c2330
hex1a1a77fe64

112113221220 has 1152 divisors, whose sum is σ = 477842706432. Its totient is φ = 20528640000.

The previous prime is 112113221219. The next prime is 112113221249. The reversal of 112113221220 is 22122311211.

112113221220 is a `hidden beast` number, since 1 + 121 + 1 + 322 + 1 + 220 = 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 = 112113221193 and 112113221202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 446666095 + ... + 446666345.

It is an arithmetic number, because the mean of its divisors is an integer number (414794016).

Almost surely, 2112113221220 is an apocalyptic number.

112113221220 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 112113221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238921353216).

112113221220 is an abundant number, since it is smaller than the sum of its proper divisors (365729485212).

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

112113221220 is a wasteful number, since it uses less digits than its factorization.

112113221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112113221220 its reverse (22122311211), we get a palindrome (134235532431).

It can be divided in two parts, 112113 and 221220, that added together give a palindrome (333333).

The spelling of 112113221220 in words is "one hundred twelve billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred twenty".