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100012222200 = 233521119179337
BaseRepresentation
bin101110100100100110…
…0010110011011111000
3100120011000122021221210
41131021030112123320
53114311112102300
6113540041003120
710140252601512
oct1351114263370
9316130567853
10100012222200
11394623238a0
1217471a834a0
13957b1cb907
144baa922bb2
152905351050
hex17493166f8

100012222200 has 192 divisors, whose sum is σ = 339998238720. Its totient is φ = 24118144000.

The previous prime is 100012222183. The next prime is 100012222217. The reversal of 100012222200 is 2222210001.

It is an interprime number because it is at equal distance from previous prime (100012222183) and next prime (100012222217).

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

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 47 ways as a sum of consecutive naturals, for example, 1220932 + ... + 1300268.

It is an arithmetic number, because the mean of its divisors is an integer number (1770824160).

Almost surely, 2100012222200 is an apocalyptic number.

100012222200 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 100012222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169999119360).

100012222200 is an abundant number, since it is smaller than the sum of its proper divisors (239986016520).

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

100012222200 is a wasteful number, since it uses less digits than its factorization.

100012222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79558 (or 79549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100012222200 its reverse (2222210001), we get a palindrome (102234432201).

The spelling of 100012222200 in words is "one hundred billion, twelve million, two hundred twenty-two thousand, two hundred".