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102212322210 = 23251135692469
BaseRepresentation
bin101111100110001010…
…1000100001110100010
3100202211100111221210100
41133030111010032202
53133312323302320
6114542232443230
710245626255325
oct1371425041642
9322740457710
10102212322210
113a391211569
1217986849516
13983bc6693b
144d38bc87bc
1529d358c790
hex17cc5443a2

102212322210 has 24 divisors (see below), whose sum is σ = 265752037980. Its totient is φ = 27256619232.

The previous prime is 102212322209. The next prime is 102212322221. The reversal of 102212322210 is 12223212201.

102212322210 is a `hidden beast` number, since 1 + 0 + 221 + 232 + 2 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98054780769 + 4157541441 = 313137^2 + 64479^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567846145 + ... + 567846324.

Almost surely, 2102212322210 is an apocalyptic number.

102212322210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212322210 is an abundant number, since it is smaller than the sum of its proper divisors (163539715770).

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

102212322210 is a wasteful number, since it uses less digits than its factorization.

102212322210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135692482 (or 1135692479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102212322210 its reverse (12223212201), we get a palindrome (114435534411).

The spelling of 102212322210 in words is "one hundred two billion, two hundred twelve million, three hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1135692469 2271384938 3407077407 5678462345 6814154814 10221232221 11356924690 17035387035 20442464442 34070774070 51106161105 102212322210