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1131331287240 = 23325711192148043
BaseRepresentation
bin10000011101101000100…
…110010111100011001000
311000011011102102001212200
4100131220212113203020
5122013431302142430
62223420523440200
7144510305163210
oct20355046274310
94004142361780
101131331287240
113a6882021910
12163314686060
13828b7c111ab
143ca84659240
151e6663ea460
hex107689978c8

1131331287240 has 384 divisors, whose sum is σ = 4825366041600. Its totient is φ = 222708994560.

The previous prime is 1131331287223. The next prime is 1131331287263. The reversal of 1131331287240 is 427821331311.

1131331287240 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 331 + 2 + 87 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131331287195 and 1131331287204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547342 + ... + 1600701.

It is an arithmetic number, because the mean of its divisors is an integer number (12566057400).

Almost surely, 21131331287240 is an apocalyptic number.

1131331287240 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 1131331287240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412683020800).

1131331287240 is an abundant number, since it is smaller than the sum of its proper divisors (3694034754360).

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

1131331287240 is a wasteful number, since it uses less digits than its factorization.

1131331287240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148097 (or 2148090 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1131331287240 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-one million, two hundred eighty-seven thousand, two hundred forty".