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100220213 is a prime number
BaseRepresentation
bin1011111100100…
…11110100110101
320222120201021202
411332103310311
5201124021323
613540022245
72324600132
oct576236465
9228521252
10100220213
1151631a25
1229691985
13179bcb02
14d44b589
158be9d28
hex5f93d35

100220213 has 2 divisors, whose sum is σ = 100220214. Its totient is φ = 100220212.

The previous prime is 100220209. The next prime is 100220227. The reversal of 100220213 is 312022001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89832484 + 10387729 = 9478^2 + 3223^2 .

It is an emirp because it is prime and its reverse (312022001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100220213 - 22 = 100220209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100220194 and 100220203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110106 + 50110107.

It is an arithmetic number, because the mean of its divisors is an integer number (50110107).

Almost surely, 2100220213 is an apocalyptic number.

It is an amenable number.

100220213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220213 is an equidigital number, since it uses as much as digits as its factorization.

100220213 is an odious number, because the sum of its binary digits is odd.

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

The square root of 100220213 is about 10011.0045949445. The cubic root of 100220213 is about 464.4993463028.

Adding to 100220213 its reverse (312022001), we get a palindrome (412242214).

The spelling of 100220213 in words is "one hundred million, two hundred twenty thousand, two hundred thirteen".