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111122000022 = 231189101187303
BaseRepresentation
bin110011101111101100…
…0110010100010010110
3101121211021122111001110
41213133120302202112
53310034213000042
6123014310035450
711012464262355
oct1473730624226
9347737574043
10111122000022
1143143521360
1219652648b86
13a62bab1447
14554220b99c
152d5587709c
hex19df632896

111122000022 has 64 divisors (see below), whose sum is σ = 247600903680. Its totient is φ = 32965152000.

The previous prime is 111122000021. The next prime is 111122000027. The reversal of 111122000022 is 220000221111.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 111121999971 and 111122000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499623 + ... + 686925.

It is an arithmetic number, because the mean of its divisors is an integer number (3868764120).

Almost surely, 2111122000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111122000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123800451840).

111122000022 is an abundant number, since it is smaller than the sum of its proper divisors (136478903658).

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

111122000022 is a wasteful number, since it uses less digits than its factorization.

111122000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187509.

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

Adding to 111122000022 its reverse (220000221111), we get a palindrome (331122221133).

Subtracting 111122000022 from its reverse (220000221111), we obtain a square (108878221089 = 3299672).

It can be divided in two parts, 1111 and 22000022, that multiplied together give a palindrome (24442024442).

The spelling of 111122000022 in words is "one hundred eleven billion, one hundred twenty-two million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 89 101 178 202 267 303 534 606 979 1111 1958 2222 2937 3333 5874 6666 8989 17978 26967 53934 98879 187303 197758 296637 374606 561909 593274 1123818 2060333 4120666 6180999 12361998 16669967 18917603 33339934 37835206 50009901 56752809 100019802 113505618 183369637 208093633 366739274 416187266 550108911 624280899 1100217822 1248561798 1683666667 3367333334 5051000001 10102000002 18520333337 37040666674 55561000011 111122000022