3100221312 has 128 divisors (see below), whose sum is σ = 8391841920. Its totient is φ = 1013913600.

The previous prime is 3100221281. The next prime is 3100221323. The reversal of 3100221312 is 2131220013.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3100221312² = 19222744366758002688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3100221291 and 3100221300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6724762 + ... + 6725222.

It is an arithmetic number, because the mean of its divisors is an integer number (65561265).

Almost surely, 2^3100221312 is an apocalyptic number.

3100221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195920960).

3100221312 is an abundant number, since it is smaller than the sum of its proper divisors (5291620608).

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

3100221312 is a wasteful number, since it uses less digits than its factorization.

3100221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3100221312 is about 55679.6310332603. The cubic root of 3100221312 is about 1458.1344333848.

Adding to 3100221312 its reverse (2131220013), we get a palindrome (5231441325).

The spelling of 3100221312 in words is "three billion, one hundred million, two hundred twenty-one thousand, three hundred twelve".