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102212212 = 22149317541
BaseRepresentation
bin1100001011110…
…10001001110100
321010022220210111
412011322021310
5202131242322
614050432404
72350534534
oct605721164
9233286714
10102212212
1152772603
122a292704
13182396cb
14d8094c4
158e90177
hex617a274

102212212 has 24 divisors (see below), whose sum is σ = 180973800. Its totient is φ = 50509440.

The previous prime is 102212141. The next prime is 102212213. The reversal of 102212212 is 212212201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2292196 + 99920016 = 1514^2 + 9996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102212192 and 102212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188662 + ... + 189202.

It is an arithmetic number, because the mean of its divisors is an integer number (7540575).

Almost surely, 2102212212 is an apocalyptic number.

It is an amenable number.

102212212 is a deficient number, since it is larger than the sum of its proper divisors (78761588).

102212212 is a wasteful number, since it uses less digits than its factorization.

102212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 102212212 is about 10110.0055390687. The cubic root of 102212212 is about 467.5566759050.

Adding to 102212212 its reverse (212212201), we get a palindrome (314424413).

The spelling of 102212212 in words is "one hundred two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 149 298 317 541 596 634 1082 1268 2164 47233 80609 94466 161218 171497 188932 322436 342994 685988 25553053 51106106 102212212