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100213073 is a prime number
BaseRepresentation
bin1011111100100…
…10000101010001
320222120100111022
411332102011101
5201123304243
613535525225
72324540252
oct576220521
9228510438
10100213073
1151627624
1229689815
13179b979c
14d448b29
158be7b68
hex5f92151

100213073 has 2 divisors, whose sum is σ = 100213074. Its totient is φ = 100213072.

The previous prime is 100213037. The next prime is 100213117. The reversal of 100213073 is 370312001.

Together with previous prime (100213037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99760144 + 452929 = 9988^2 + 673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100213073 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100213273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106536 + 50106537.

It is an arithmetic number, because the mean of its divisors is an integer number (50106537).

Almost surely, 2100213073 is an apocalyptic number.

It is an amenable number.

100213073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213073 is an equidigital number, since it uses as much as digits as its factorization.

100213073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 100213073 is about 10010.6479810250. The cubic root of 100213073 is about 464.4883152477.

Adding to 100213073 its reverse (370312001), we get a palindrome (470525074).

The spelling of 100213073 in words is "one hundred million, two hundred thirteen thousand, seventy-three".