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2241532101140 = 2251011109669357
BaseRepresentation
bin100000100111100101101…
…110011000001000010100
321221021210020002212121122
4200213211232120020110
5243211124204214030
64433425020103112
7320642153330033
oct40474556301024
97837706085548
102241532101140
117946a0486312
12302510694a98
131334b6187507
147a6c27da71a
153d4926c48e5
hex209e5b98214

2241532101140 has 24 divisors (see below), whose sum is σ = 4753823529672. Its totient is φ = 887735484800.

The previous prime is 2241532101077. The next prime is 2241532101167. The reversal of 2241532101140 is 411012351422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 815098397584 + 1426433703556 = 902828^2 + 1194334^2 .

It is a super-2 number, since 2×22415321011402 (a number of 26 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 554832659 + ... + 554836698.

It is an arithmetic number, because the mean of its divisors is an integer number (198075980403).

Almost surely, 22241532101140 is an apocalyptic number.

2241532101140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241532101140 is an abundant number, since it is smaller than the sum of its proper divisors (2512291428532).

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

2241532101140 is a wasteful number, since it uses less digits than its factorization.

2241532101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109669467 (or 1109669465 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 2241532101140 its reverse (411012351422), we get a palindrome (2652544452562).

The spelling of 2241532101140 in words is "two trillion, two hundred forty-one billion, five hundred thirty-two million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1109669357 2219338714 4438677428 5548346785 11096693570 22193387140 112076605057 224153210114 448306420228 560383025285 1120766050570 2241532101140