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1131300530712 = 2333112973224911
BaseRepresentation
bin10000011101100110110…
…001000010101000011000
311000011002021112110212000
4100131212301002220120
5122013400413440322
62223413504321000
7144506452564062
oct20354661025030
94004067473760
101131300530712
113a6866724aa0
12163306313160
13828b1732a71
143ca80530732
151e6638723ac
hex10766c42a18

1131300530712 has 256 divisors, whose sum is σ = 3594993408000. Its totient is φ = 326461363200.

The previous prime is 1131300530707. The next prime is 1131300530713. The reversal of 1131300530712 is 2170350031311.

It is a happy number.

1131300530712 is a `hidden beast` number, since 1 + 1 + 31 + 30 + 0 + 530 + 71 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131300530713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4917537 + ... + 5142447.

It is an arithmetic number, because the mean of its divisors is an integer number (14042943000).

Almost surely, 21131300530712 is an apocalyptic number.

1131300530712 is a gapful number since it is divisible by the number (12) 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 1131300530712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797496704000).

1131300530712 is an abundant number, since it is smaller than the sum of its proper divisors (2463692877288).

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

1131300530712 is a wasteful number, since it uses less digits than its factorization.

1131300530712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225039 (or 225029 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 1131300530712 in words is "one trillion, one hundred thirty-one billion, three hundred million, five hundred thirty thousand, seven hundred twelve".