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1130310046080 = 273351728113693
BaseRepresentation
bin10000011100101011101…
…110101001000110000000
311000001112020202122101000
4100130223232221012000
5122004333332433310
62223131323012000
7144443064603555
oct20345356510600
94001466678330
101130310046080
113a63a8610256
1216308a66a000
1382784477997
143c9c8b7ca2c
151e6069204c0
hex1072bba9180

1130310046080 has 512 divisors, whose sum is σ = 4254057532800. Its totient is φ = 282655457280.

The previous prime is 1130310046057. The next prime is 1130310046091. The reversal of 1130310046080 is 806400130311.

1130310046080 is a `hidden beast` number, since 11 + 30 + 3 + 10 + 0 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82539714 + ... + 82553406.

Almost surely, 21130310046080 is an apocalyptic number.

1130310046080 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 1130310046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127028766400).

1130310046080 is an abundant number, since it is smaller than the sum of its proper divisors (3123747486720).

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

1130310046080 is a wasteful number, since it uses less digits than its factorization.

1130310046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14019 (or 14001 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1130310046080 its reverse (806400130311), we get a palindrome (1936710176391).

The spelling of 1130310046080 in words is "one trillion, one hundred thirty billion, three hundred ten million, forty-six thousand, eighty".