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102213 = 3241277
BaseRepresentation
bin11000111101000101
312012012200
4120331011
511232323
62105113
7603666
oct307505
9165180
10102213
116a881
124b199
13376a7
142936d
1520443
hex18f45

102213 has 12 divisors (see below), whose sum is σ = 151788. Its totient is φ = 66240.

The previous prime is 102203. The next prime is 102217. The reversal of 102213 is 312201.

Subtracting from 102213 its product of nonzero digits (12), we obtain a palindrome (102201).

Adding to 102213 its reverse (312201), we get a palindrome (414414).

It can be divided in two parts, 1022 and 13, that added together give a triangular number (1035 = T45).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 91809 = 102^2 + 303^2 .

It is not a de Polignac number, because 102213 - 24 = 102197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102195 and 102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (12649).

2102213 is an apocalyptic number.

It is an amenable number.

102213 is a deficient number, since it is larger than the sum of its proper divisors (49575).

102213 is a wasteful number, since it uses less digits than its factorization.

102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102213 is about 319.7076789819. The cubic root of 102213 is about 46.7557877437.

The spelling of 102213 in words is "one hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 41 123 277 369 831 2493 11357 34071 102213