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120213 = 3219237
BaseRepresentation
bin11101010110010101
320002220100
4131112111
512321323
62324313
71010322
oct352625
9202810
10120213
1182355
1259699
1342942
1431b49
1525943
hex1d595

120213 has 18 divisors (see below), whose sum is σ = 188214. Its totient is φ = 73872.

The previous prime is 120209. The next prime is 120223. The reversal of 120213 is 312021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 3249 = 342^2 + 57^2 .

It is not a de Polignac number, because 120213 - 22 = 120209 is a prime.

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

120213 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 120195 and 120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3231 + ... + 3267.

2120213 is an apocalyptic number.

It is an amenable number.

120213 is a deficient number, since it is larger than the sum of its proper divisors (68001).

120213 is a wasteful number, since it uses less digits than its factorization.

120213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

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

The square root of 120213 is about 346.7174642270. The cubic root of 120213 is about 49.3534077463.

Adding to 120213 its reverse (312021), we get a palindrome (432234).

It can be divided in two parts, 12021 and 3, that multiplied together give a palindrome (36063).

The spelling of 120213 in words is "one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 19 37 57 111 171 333 361 703 1083 2109 3249 6327 13357 40071 120213