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102221122212 = 223211977264211
BaseRepresentation
bin101111100110011011…
…0101000101010100100
3100202211222002001010100
41133030312220222210
53133322101402322
6114543145224100
710246064126316
oct1371466505244
9322758061110
10102221122212
113a3961820a0
1217989792030
139840a28241
144d3a0397b6
1529d4229dac
hex17ccda8aa4

102221122212 has 72 divisors (see below), whose sum is σ = 282172074912. Its totient is φ = 30944275200.

The previous prime is 102221122189. The next prime is 102221122231. The reversal of 102221122212 is 212221122201.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 254787 + ... + 518997.

It is an arithmetic number, because the mean of its divisors is an integer number (3919056596).

Almost surely, 2102221122212 is an apocalyptic number.

102221122212 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 102221122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141086037456).

102221122212 is an abundant number, since it is smaller than the sum of its proper divisors (179950952700).

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

102221122212 is a wasteful number, since it uses less digits than its factorization.

102221122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265209 (or 265204 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221122212 its reverse (212221122201), we get a palindrome (314442244413).

The spelling of 102221122212 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 977 1954 2931 3908 5862 8793 10747 11724 17586 21494 32241 35172 42988 64482 96723 128964 193446 264211 386892 528422 792633 1056844 1585266 2377899 2906321 3170532 4755798 5812642 8718963 9511596 11625284 17437926 26156889 34875852 52313778 104627556 258134147 516268294 774402441 1032536588 1548804882 2323207323 2839475617 3097609764 4646414646 5678951234 8518426851 9292829292 11357902468 17036853702 25555280553 34073707404 51110561106 102221122212