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3103044664104 = 233571131971127
BaseRepresentation
bin101101001001111011110…
…111111111101100101000
3101222122111111222120200000
4231021323313333230220
5401320013413222404
610333304040143000
7440121224310240
oct55117367775450
911878444876600
103103044664104
11a96aa28a9000
12421483467a60
13196801061628
14aa28c468b20
1555ab5de6339
hex2d27bdffb28

3103044664104 has 1536 divisors, whose sum is σ = 11786806886400. Its totient is φ = 746883244800.

The previous prime is 3103044664081. The next prime is 3103044664121. The reversal of 3103044664104 is 4014664403013.

3103044664104 is a `hidden beast` number, since 3 + 1 + 0 + 3 + 0 + 4 + 4 + 6 + 641 + 0 + 4 = 666.

It is a super-2 number, since 2×31030446641042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24433422489 + ... + 24433422615.

It is an arithmetic number, because the mean of its divisors is an integer number (7673702400).

Almost surely, 23103044664104 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 3103044664104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893403443200).

3103044664104 is an abundant number, since it is smaller than the sum of its proper divisors (8683762222296).

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

3103044664104 is a wasteful number, since it uses less digits than its factorization.

3103044664104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3103044664104 in words is "three trillion, one hundred three billion, forty-four million, six hundred sixty-four thousand, one hundred four".