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100202213 is a prime number
BaseRepresentation
bin1011111100011…
…11011011100101
320222112210121002
411332033123211
5201122432323
613535403045
72324463506
oct576173345
9228483532
10100202213
115161a451
1229683485
13179b4867
14d444bad
158be4828
hex5f8f6e5

100202213 has 2 divisors, whose sum is σ = 100202214. Its totient is φ = 100202212.

The previous prime is 100202161. The next prime is 100202243. The reversal of 100202213 is 312202001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51523684 + 48678529 = 7178^2 + 6977^2 .

It is an emirp because it is prime and its reverse (312202001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100202213 - 222 = 96007909 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202194 and 100202203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100202243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101106 + 50101107.

It is an arithmetic number, because the mean of its divisors is an integer number (50101107).

Almost surely, 2100202213 is an apocalyptic number.

It is an amenable number.

100202213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202213 is an equidigital number, since it uses as much as digits as its factorization.

100202213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100202213 is about 10010.1055438991. The cubic root of 100202213 is about 464.4715359154.

Adding to 100202213 its reverse (312202001), we get a palindrome (412404214).

The spelling of 100202213 in words is "one hundred million, two hundred two thousand, two hundred thirteen".