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100393441 is a prime number
BaseRepresentation
bin1011111101111…
…10000111100001
320222220111220121
411332332013201
5201200042231
613543440241
72326221151
oct576760741
9228814817
10100393441
1151740095
1229756081
1317a50905
14d494761
158c31311
hex5fbe1e1

100393441 has 2 divisors, whose sum is σ = 100393442. Its totient is φ = 100393440.

The previous prime is 100393439. The next prime is 100393453. The reversal of 100393441 is 144393001.

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., 82083600 + 18309841 = 9060^2 + 4279^2 .

It is a cyclic number.

It is not a de Polignac number, because 100393441 - 21 = 100393439 is a prime.

Together with 100393439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100393471) 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, 50196720 + 50196721.

It is an arithmetic number, because the mean of its divisors is an integer number (50196721).

Almost surely, 2100393441 is an apocalyptic number.

It is an amenable number.

100393441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100393441 is an equidigital number, since it uses as much as digits as its factorization.

100393441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 100393441 is about 10019.6527384935. The cubic root of 100393441 is about 464.7668172207.

The spelling of 100393441 in words is "one hundred million, three hundred ninety-three thousand, four hundred forty-one".