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1106522919040 = 275711131171403
BaseRepresentation
bin10000000110100001111…
…001111101000010000000
310220210010111002101110211
4100012201321331002000
5121112124331402130
62204155110203504
7142641445424140
oct20064171750200
93823114071424
101106522919040
11397301382680
1215a550353594
13804632c2096
143b7ad916920
151dbb347ca2a
hex101a1e7d080

1106522919040 has 256 divisors, whose sum is σ = 3323208176640. Its totient is φ = 342255513600.

The previous prime is 1106522919037. The next prime is 1106522919071. The reversal of 1106522919040 is 409192256011.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1106522918984 and 1106522919002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6369979 + ... + 6541381.

It is an arithmetic number, because the mean of its divisors is an integer number (12981281940).

Almost surely, 21106522919040 is an apocalyptic number.

1106522919040 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 1106522919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661604088320).

1106522919040 is an abundant number, since it is smaller than the sum of its proper divisors (2216685257600).

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

1106522919040 is a wasteful number, since it uses less digits than its factorization.

1106522919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171571 (or 171559 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 1106522919040 in words is "one trillion, one hundred six billion, five hundred twenty-two million, nine hundred nineteen thousand, forty".