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102322221021 = 3229372286369
BaseRepresentation
bin101111101001011100…
…0010010111111011101
3100210010000022101121200
41133102320102333131
53134023442033041
6115001200150113
710251432346116
oct1372270227735
9323100271550
10102322221021
113a438254129
12179b7608339
139858964c17
144d4963520d
1529dd04a1b6
hex17d2e12fdd

102322221021 has 36 divisors (see below), whose sum is σ = 157139810100. Its totient is φ = 64082285568.

The previous prime is 102322221019. The next prime is 102322221049. The reversal of 102322221021 is 120122223201.

102322221021 is a `hidden beast` number, since 102 + 322 + 221 + 0 + 21 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 56489405625 + 45832815396 = 237675^2 + 214086^2 .

It is not a de Polignac number, because 102322221021 - 21 = 102322221019 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102322220985 and 102322221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102322221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214125 + ... + 500493.

It is an arithmetic number, because the mean of its divisors is an integer number (4364994725).

Almost surely, 2102322221021 is an apocalyptic number.

It is an amenable number.

102322221021 is a deficient number, since it is larger than the sum of its proper divisors (54817589079).

102322221021 is a wasteful number, since it uses less digits than its factorization.

102322221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286478 (or 286438 counting only the distinct ones).

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

Adding to 102322221021 its reverse (120122223201), we get a palindrome (222444444222).

The spelling of 102322221021 in words is "one hundred two billion, three hundred twenty-two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 1369 3219 4107 9657 12321 39701 119103 286369 357309 859107 2577321 8304701 10595653 24914103 31786959 74742309 95360877 307273937 392039161 921821811 1176117483 2765465433 3528352449 11369135669 34107407007 102322221021