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112220010020 = 22517330058853
BaseRepresentation
bin110100010000011010…
…1010111011000100100
3101201122210202011121102
41220200311113120210
53314311310310040
6123315252135232
711051626226606
oct1504065273044
9351583664542
10112220010020
11436572a7538
12198ba307518
13a7754163c1
145607d8d176
152dbbe68515
hex1a20d57624

112220010020 has 24 divisors (see below), whose sum is σ = 249524493624. Its totient is φ = 42247533056.

The previous prime is 112220009959. The next prime is 112220010031. The reversal of 112220010020 is 20010022211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3461204224 + 108758805796 = 58832^2 + 329786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112220009983 and 112220010010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165029087 + ... + 165029766.

It is an arithmetic number, because the mean of its divisors is an integer number (10396853901).

Almost surely, 2112220010020 is an apocalyptic number.

112220010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112220010020 is an abundant number, since it is smaller than the sum of its proper divisors (137304483604).

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

112220010020 is a wasteful number, since it uses less digits than its factorization.

112220010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330058879 (or 330058877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112220010020 its reverse (20010022211), we get a palindrome (132230032231).

The spelling of 112220010020 in words is "one hundred twelve billion, two hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 330058853 660117706 1320235412 1650294265 3300588530 5611000501 6601177060 11222001002 22444002004 28055002505 56110005010 112220010020