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3001013001 = 327311536617
BaseRepresentation
bin1011001011011111…
…1101001100001001
321202010221020220200
42302313331030021
522121224404001
61213442042413
7134240122020
oct26267751411
97663836820
103001013001
1112aaaa2538
126b9049409
1338a97a64c
142067cb8b7
151286e4086
hexb2dfd309

3001013001 has 24 divisors (see below), whose sum is σ = 5113864704. Its totient is φ = 1659545280.

The previous prime is 3001012997. The next prime is 3001013017. The reversal of 3001013001 is 1003101003.

It is not a de Polignac number, because 3001013001 - 22 = 3001012997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3001013801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766356 + ... + 770261.

It is an arithmetic number, because the mean of its divisors is an integer number (213077696).

Almost surely, 23001013001 is an apocalyptic number.

3001013001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3001013001 is a deficient number, since it is larger than the sum of its proper divisors (2112851703).

3001013001 is a wasteful number, since it uses less digits than its factorization.

3001013001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536661 (or 1536658 counting only the distinct ones).

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

The square root of 3001013001 is about 54781.5023616549. The cubic root of 3001013001 is about 1442.4118854012.

Adding to 3001013001 its reverse (1003101003), we get a palindrome (4004114004).

The spelling of 3001013001 in words is "three billion, one million, thirteen thousand, one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 1536617 4609851 10756319 13829553 32268957 47635127 96806871 142905381 333445889 428716143 1000337667 3001013001