Search a number
-
+
1055309580120 = 233519312481639
BaseRepresentation
bin11110101101101010101…
…10100100011101011000
310201212221100011012202110
433112311112210131120
5114242233223030440
62124445202432320
7136146361266135
oct17266526443530
93655840135673
101055309580120
11377610823094
121506390626a0
137869106a643
1439111dc358c
151c6b7315080
hexf5b55a4758

1055309580120 has 192 divisors, whose sum is σ = 3443533344000. Its totient is φ = 258003843840.

The previous prime is 1055309580053. The next prime is 1055309580163. The reversal of 1055309580120 is 210859035501.

It is a super-2 number, since 2×10553095801202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1950261 + ... + 2431899.

It is an arithmetic number, because the mean of its divisors is an integer number (17935069500).

Almost surely, 21055309580120 is an apocalyptic number.

1055309580120 is a gapful number since it is divisible by the number (10) 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 1055309580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721766672000).

1055309580120 is an abundant number, since it is smaller than the sum of its proper divisors (2388223763880).

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

1055309580120 is a wasteful number, since it uses less digits than its factorization.

1055309580120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481734 (or 481699 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 1055309580120 in words is "one trillion, fifty-five billion, three hundred nine million, five hundred eighty thousand, one hundred twenty".