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100110222122112 = 2732377039333667
BaseRepresentation
bin10110110000110010111010…
…001110100101110010000000
3111010110102222111200110220200
4112300302322032211302000
5101110201213330401422
6552530000125205200
730041503425545106
oct2660627216456200
9433412874613820
10100110222122112
1129997563579984
12b28a046a00800
1343b2479674447
141aa15096d5c76
15b8916b1412ac
hex5b0cba3a5c80

100110222122112 has 192 divisors, whose sum is σ = 295906392038400. Its totient is φ = 32463470241792.

The previous prime is 100110222122107. The next prime is 100110222122143. The reversal of 100110222122112 is 211221222011001.

100110222122112 is a `hidden beast` number, since 100 + 110 + 2 + 221 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299863503 + ... + 300197169.

It is an arithmetic number, because the mean of its divisors is an integer number (1541179125200).

Almost surely, 2100110222122112 is an apocalyptic number.

100110222122112 is a gapful number since it is divisible by the number (12) 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 100110222122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147953196019200).

100110222122112 is an abundant number, since it is smaller than the sum of its proper divisors (195796169916288).

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

100110222122112 is a wasteful number, since it uses less digits than its factorization.

100110222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340763 (or 340748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100110222122112 its reverse (211221222011001), we get a palindrome (311331444133113).

It can be divided in two parts, 100110 and 222122112, that added together give a palindrome (222222222).

The spelling of 100110222122112 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".