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100213 is a prime number
BaseRepresentation
bin11000011101110101
312002110121
4120131311
511201323
62051541
7565111
oct303565
9162417
10100213
1169323
1249bb1
13367c9
1428741
151ea5d
hex18775

100213 has 2 divisors, whose sum is σ = 100214. Its totient is φ = 100212.

The previous prime is 100207. The next prime is 100237. The reversal of 100213 is 312001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 39204 = 247^2 + 198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100196 and 100205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106 + 50107.

It is an arithmetic number, because the mean of its divisors is an integer number (50107).

2100213 is an apocalyptic number.

It is an amenable number.

100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213 is an equidigital number, since it uses as much as digits as its factorization.

100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100213 is about 316.5643694417. The cubic root of 100213 is about 46.4488202462.

Adding to 100213 its reverse (312001), we get a palindrome (412214).

It can be divided in two parts, 100 and 213, that added together give a palindrome (313).

The spelling of 100213 in words is "one hundred thousand, two hundred thirteen".