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112100012220 = 223573758712289
BaseRepresentation
bin110100001100110101…
…1100111000010111100
3101201100102221122120110
41220121223213002330
53314040100342340
6123255324150020
711045641245030
oct1503153470274
9351312848513
10112100012220
11435a55973a9
1219886098310
13a7565c04a1
1455d60741c0
152db1663680
hex1a19ae70bc

112100012220 has 192 divisors, whose sum is σ = 369072829440. Its totient is φ = 24885854208.

The previous prime is 112100012159. The next prime is 112100012249. The reversal of 112100012220 is 22210001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112100012196 and 112100012205.

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, 9115836 + ... + 9128124.

It is an arithmetic number, because the mean of its divisors is an integer number (1922254320).

Almost surely, 2112100012220 is an apocalyptic number.

112100012220 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 112100012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184536414720).

112100012220 is an abundant number, since it is smaller than the sum of its proper divisors (256972817220).

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

112100012220 is a wasteful number, since it uses less digits than its factorization.

112100012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112100012220 its reverse (22210001211), we get a palindrome (134310013431).

The spelling of 112100012220 in words is "one hundred twelve billion, one hundred million, twelve thousand, two hundred twenty".