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1231140110040 = 23325531016011063
BaseRepresentation
bin10001111010100101101…
…010110011111011011000
311100200210021022121022100
4101322211222303323120
5130132333332010130
62341324501123400
7154642541161611
oct21724552637330
94320707277270
101231140110040
1143513a550725
1217a72a3b9560
138c132c35419
1443832152c08
152205896ec60
hex11ea5ab3ed8

1231140110040 has 384 divisors, whose sum is σ = 4127793022080. Its totient is φ = 318090240000.

The previous prime is 1231140109981. The next prime is 1231140110071. The reversal of 1231140110040 is 400110411321.

1231140110040 is a `hidden beast` number, since 123 + 1 + 1 + 401 + 100 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1231140109995 and 1231140110022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1158174549 + ... + 1158175611.

It is an arithmetic number, because the mean of its divisors is an integer number (10749460995).

Almost surely, 21231140110040 is an apocalyptic number.

1231140110040 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 1231140110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063896511040).

1231140110040 is an abundant number, since it is smaller than the sum of its proper divisors (2896652912040).

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

1231140110040 is a wasteful number, since it uses less digits than its factorization.

1231140110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1231140110040 its reverse (400110411321), we get a palindrome (1631250521361).

The spelling of 1231140110040 in words is "one trillion, two hundred thirty-one billion, one hundred forty million, one hundred ten thousand, forty".