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100380041 is a prime number
BaseRepresentation
bin1011111101110…
…10110110001001
320222212211112022
411332322312021
5201144130131
613543254225
72326134116
oct576726611
9228784468
10100380041
1151731013
122974a375
1317a47798
14d48d90d
158c2c37b
hex5fbad89

100380041 has 2 divisors, whose sum is σ = 100380042. Its totient is φ = 100380040.

The previous prime is 100380031. The next prime is 100380061. The reversal of 100380041 is 140083001.

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., 97930816 + 2449225 = 9896^2 + 1565^2 .

It is a cyclic number.

It is not a de Polignac number, because 100380041 - 26 = 100379977 is a prime.

It is a super-3 number, since 3×1003800413 (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100380011) 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, 50190020 + 50190021.

It is an arithmetic number, because the mean of its divisors is an integer number (50190021).

Almost surely, 2100380041 is an apocalyptic number.

It is an amenable number.

100380041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100380041 is an equidigital number, since it uses as much as digits as its factorization.

100380041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 100380041 is about 10018.9840303296. The cubic root of 100380041 is about 464.7461380728.

The spelling of 100380041 in words is "one hundred million, three hundred eighty thousand, forty-one".