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3001000123 = 1117151106279
BaseRepresentation
bin1011001011011111…
…1010000010111011
321202010220121020201
42302313322002323
522121224000443
61213441503031
7134240036332
oct26267720273
97663817221
103001000123
1112aaa938a0
126b9041a77
1338a974824
142067c6d19
151286e034d
hexb2dfa0bb

3001000123 has 16 divisors (see below), whose sum is σ = 3489384960. Its totient is φ = 2550672000.

The previous prime is 3001000063. The next prime is 3001000147. The reversal of 3001000123 is 3210001003.

It is a cyclic number.

It is not a de Polignac number, because 3001000123 - 29 = 3000999611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001000193) 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 15 ways as a sum of consecutive naturals, for example, 24903 + ... + 81376.

It is an arithmetic number, because the mean of its divisors is an integer number (218086560).

Almost surely, 23001000123 is an apocalyptic number.

3001000123 is a deficient number, since it is larger than the sum of its proper divisors (488384837).

3001000123 is a wasteful number, since it uses less digits than its factorization.

3001000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106458.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3001000123 is about 54781.3848218535. The cubic root of 3001000123 is about 1442.4098221638.

Adding to 3001000123 its reverse (3210001003), we get a palindrome (6211001126).

The spelling of 3001000123 in words is "three billion, one million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 11 17 151 187 1661 2567 28237 106279 1169069 1806743 16048129 19874173 176529419 272818193 3001000123