Search a number
-
+
3121222104 = 233271121331127
BaseRepresentation
bin1011101000001010…
…0001000111011000
322001112010111210200
42322002201013120
522343013101404
61233414342200
7140226643620
oct27202410730
98045114720
103121222104
111361937400
1273135a960
133a98487b0
1421875d880
1513403b839
hexba0a11d8

3121222104 has 576 divisors, whose sum is σ = 11897733120. Its totient is φ = 718502400.

The previous prime is 3121222033. The next prime is 3121222109. The reversal of 3121222104 is 4012221213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121222109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24576489 + ... + 24576615.

Almost surely, 23121222104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948866560).

3121222104 is an abundant number, since it is smaller than the sum of its proper divisors (8776511016).

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

3121222104 is a wasteful number, since it uses less digits than its factorization.

3121222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3121222104 is about 55867.8986896769. The cubic root of 3121222104 is about 1461.4194776700.

Adding to 3121222104 its reverse (4012221213), we get a palindrome (7133443317).

The spelling of 3121222104 in words is "three billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred four".