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112223101320 = 233351147200987
BaseRepresentation
bin110100010000100000…
…1001010000110001000
3101201200000120020002000
41220201001022012020
53314313103220240
6123315442311000
711051664423261
oct1504101120610
9351600506060
10112223101320
1143659019030
12198bb358460
13a775c59485
145608555968
152dbc379430
hex1a2104a188

112223101320 has 256 divisors, whose sum is σ = 416768716800. Its totient is φ = 26626625280.

The previous prime is 112223101303. The next prime is 112223101321. The reversal of 112223101320 is 23101322211.

112223101320 is a `hidden beast` number, since 1 + 1 + 222 + 310 + 132 + 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 = 112223101293 and 112223101302.

It is not an unprimeable number, because it can be changed into a prime (112223101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457867 + ... + 658853.

It is an arithmetic number, because the mean of its divisors is an integer number (1628002800).

Almost surely, 2112223101320 is an apocalyptic number.

112223101320 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 112223101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208384358400).

112223101320 is an abundant number, since it is smaller than the sum of its proper divisors (304545615480).

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

112223101320 is a wasteful number, since it uses less digits than its factorization.

112223101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201065 (or 201055 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112223101320 its reverse (23101322211), we get a palindrome (135324423531).

The spelling of 112223101320 in words is "one hundred twelve billion, two hundred twenty-three million, one hundred one thousand, three hundred twenty".