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3001001322 = 23111923310271
BaseRepresentation
bin1011001011011111…
…1010010101101010
321202010220122220010
42302313322111222
522121224020242
61213441512350
7134240042664
oct26267722552
97663818803
103001001322
1112aaa94790
126b90426b6
1338a975237
142067c7534
151286e089c
hexb2dfa56a

3001001322 has 64 divisors (see below), whose sum is σ = 6922506240. Its totient is φ = 857750400.

The previous prime is 3001001321. The next prime is 3001001363. The reversal of 3001001322 is 2231001003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3001001298 and 3001001307.

It is not an unprimeable number, because it can be changed into a prime (3001001321) 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 31 ways as a sum of consecutive naturals, for example, 287047 + ... + 297317.

It is an arithmetic number, because the mean of its divisors is an integer number (108164160).

Almost surely, 23001001322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001001322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461253120).

3001001322 is an abundant number, since it is smaller than the sum of its proper divisors (3921504918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3001001322 is a wasteful number, since it uses less digits than its factorization.

3001001322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3001001322 is about 54781.3957653508. The cubic root of 3001001322 is about 1442.4100142608.

Adding to 3001001322 its reverse (2231001003), we get a palindrome (5232002325).

The spelling of 3001001322 in words is "three billion, one million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 233 418 466 627 699 1254 1398 2563 4427 5126 7689 8854 10271 13281 15378 20542 26562 30813 48697 61626 97394 112981 146091 195149 225962 292182 338943 390298 585447 677886 1170894 2146639 2393143 4293278 4786286 6439917 7179429 12879834 14358858 26324573 45469717 52649146 78973719 90939434 136409151 157947438 272818302 500166887 1000333774 1500500661 3001001322