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1131105698240 = 26572432416961
BaseRepresentation
bin10000011101011011001…
…001110100000111000000
311000010120200220221221112
4100131123021310013000
5122013001024320430
62223342304342452
7144501565541300
oct20353311640700
94003520827845
101131105698240
113a6776751521
12163271014a28
138288026788b
143ca626d5600
151e6516d9195
hex1075b2741c0

1131105698240 has 336 divisors, whose sum is σ = 3219822185184. Its totient is φ = 377162956800.

The previous prime is 1131105698161. The next prime is 1131105698279. The reversal of 1131105698240 is 428965011311.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 162488360 + ... + 162495320.

Almost surely, 21131105698240 is an apocalyptic number.

1131105698240 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 1131105698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609911092592).

1131105698240 is an abundant number, since it is smaller than the sum of its proper divisors (2088716486944).

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

1131105698240 is a wasteful number, since it uses less digits than its factorization.

1131105698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 1131105698240 in words is "one trillion, one hundred thirty-one billion, one hundred five million, six hundred ninety-eight thousand, two hundred forty".