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100122003 = 3211124667
BaseRepresentation
bin1011111011110…
…11110110010011
320222101201120100
411331323312103
5201112401003
613533543443
72324010612
oct575736623
9228351510
10100122003
1151575163
1229644b83
13179871b7
14d423879
158bcaba3
hex5f7bd93

100122003 has 6 divisors (see below), whose sum is σ = 144620684. Its totient is φ = 66747996.

The previous prime is 100121981. The next prime is 100122023. The reversal of 100122003 is 300221001.

It is a happy number.

It is not a de Polignac number, because 100122003 - 26 = 100121939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11124667 = 100122003 / (1 + 0 + 0 + 1 + 2 + 2 + 0 + 0 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122023) 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 5 ways as a sum of consecutive naturals, for example, 5562325 + ... + 5562342.

Almost surely, 2100122003 is an apocalyptic number.

100122003 is a deficient number, since it is larger than the sum of its proper divisors (44498681).

100122003 is a wasteful number, since it uses less digits than its factorization.

100122003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124673 (or 11124670 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100122003 is about 10006.0982905426. The cubic root of 100122003 is about 464.3475692354.

Adding to 100122003 its reverse (300221001), we get a palindrome (400343004).

The spelling of 100122003 in words is "one hundred million, one hundred twenty-two thousand, three".

Divisors: 1 3 9 11124667 33374001 100122003