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3001000107 = 37373862291
BaseRepresentation
bin1011001011011111…
…1010000010101011
321202010220121020010
42302313322002223
522121224000412
61213441503003
7134240036310
oct26267720253
97663817203
103001000107
1112aaa93886
126b9041a63
1338a974811
142067c6d07
151286e033c
hexb2dfa0ab

3001000107 has 16 divisors (see below), whose sum is σ = 4696547072. Its totient is φ = 1668509280.

The previous prime is 3001000063. The next prime is 3001000147. The reversal of 3001000107 is 7010001003.

It is not a de Polignac number, because 3001000107 - 27 = 3000999979 is a prime.

It is a super-2 number, since 2×30010001072 = 18012003284428022898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3001000092 and 3001000101.

It is not an unprimeable number, because it can be changed into a prime (3001000147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930369 + ... + 1931922.

It is an arithmetic number, because the mean of its divisors is an integer number (293534192).

Almost surely, 23001000107 is an apocalyptic number.

3001000107 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3001000107 is a deficient number, since it is larger than the sum of its proper divisors (1695546965).

3001000107 is a wasteful number, since it uses less digits than its factorization.

3001000107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862338.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 3001000107 is about 54781.3846758185. The cubic root of 3001000107 is about 1442.4098196003.

The spelling of 3001000107 in words is "three billion, one million, one hundred seven", and thus it is an aban number.

Divisors: 1 3 7 21 37 111 259 777 3862291 11586873 27036037 81108111 142904767 428714301 1000333369 3001000107