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1071881041120 = 25522330041509
BaseRepresentation
bin11111001100100010001…
…01101011010011100000
310210110201020021122200021
433212101011223103200
5120030203021303440
62140225414403224
7140304132343411
oct17462105532340
93713636248607
101071881041120
113836449a3aaa
121538a2960514
137a102339476
1439c44bcd808
151cd3708c84a
hexf99116b4e0

1071881041120 has 48 divisors (see below), whose sum is σ = 2543674734720. Its totient is φ = 426829745664.

The previous prime is 1071881041117. The next prime is 1071881041129. The reversal of 1071881041120 is 211401881701.

It is a super-2 number, since 2×10718810411202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071881041129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14985075 + ... + 15056434.

It is an arithmetic number, because the mean of its divisors is an integer number (52993223640).

Almost surely, 21071881041120 is an apocalyptic number.

1071881041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071881041120 is an abundant number, since it is smaller than the sum of its proper divisors (1471793693600).

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

1071881041120 is a wasteful number, since it uses less digits than its factorization.

1071881041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041747 (or 30041739 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 34.

The spelling of 1071881041120 in words is "one trillion, seventy-one billion, eight hundred eighty-one million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 7136 8920 17840 35680 30041509 60083018 120166036 150207545 240332072 300415090 480664144 600830180 961328288 1201660360 2403320720 4806641440 6699256507 13398513014 26797026028 33496282535 53594052056 66992565070 107188104112 133985130140 214376208224 267970260280 535940520560 1071881041120