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102221212221 = 3359296921613
BaseRepresentation
bin101111100110011011…
…0111110101000111101
3100202211222020121121000
41133030312332220331
53133322112242341
6114543151200513
710246064652612
oct1371466765075
9322758217530
10102221212221
113a396233787
1217989816139
139840a5a1bb
144d3a060509
1529d42468b6
hex17ccdbea3d

102221212221 has 32 divisors (see below), whose sum is σ = 154064592000. Its totient is φ = 66966770304.

The previous prime is 102221212187. The next prime is 102221212297. The reversal of 102221212221 is 122212122201.

It is a happy number.

102221212221 is a `hidden beast` number, since 10 + 2 + 221 + 212 + 221 = 666.

It is not a de Polignac number, because 102221212221 - 221 = 102219115069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221212194 and 102221212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221216221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4718811 + ... + 4740423.

It is an arithmetic number, because the mean of its divisors is an integer number (4814518500).

Almost surely, 2102221212221 is an apocalyptic number.

It is an amenable number.

102221212221 is a deficient number, since it is larger than the sum of its proper divisors (51843379779).

102221212221 is a wasteful number, since it uses less digits than its factorization.

102221212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24650 (or 24644 counting only the distinct ones).

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

Adding to 102221212221 its reverse (122212122201), we get a palindrome (224433334422).

The spelling of 102221212221 in words is "one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 27 59 177 531 1593 2969 8907 21613 26721 64839 80163 175171 194517 525513 583551 1275167 1576539 3825501 4729617 11476503 34429509 64168997 192506991 577520973 1732562919 3785970823 11357912469 34073737407 102221212221