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100380341 = 418927509
BaseRepresentation
bin1011111101110…
…10111010110101
320222212211221102
411332322322311
5201144132331
613543255445
72326135025
oct576727265
9228784842
10100380341
1151731266
122974a585
1317a47969
14d48da85
158c2c4cb
hex5fbaeb5

100380341 has 8 divisors (see below), whose sum is σ = 103987800. Its totient is φ = 96828160.

The previous prime is 100380317. The next prime is 100380373. The reversal of 100380341 is 143083001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10699441 + 89680900 = 3271^2 + 9470^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100380341 - 26 = 100380277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100380041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10106 + ... + 17403.

It is an arithmetic number, because the mean of its divisors is an integer number (12998475).

Almost surely, 2100380341 is an apocalyptic number.

It is an amenable number.

100380341 is a deficient number, since it is larger than the sum of its proper divisors (3607459).

100380341 is an equidigital number, since it uses as much as digits as its factorization.

100380341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27639.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 100380341 is about 10018.9990018963. Note that the first 3 decimals coincide. The cubic root of 100380341 is about 464.7466010589.

Adding to 100380341 its sum of digits (20), we get a square (100380361 = 100192).

The spelling of 100380341 in words is "one hundred million, three hundred eighty thousand, three hundred forty-one".

Divisors: 1 41 89 3649 27509 1127869 2448301 100380341