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10112441340 = 2235533180013
BaseRepresentation
bin10010110101011111…
…11001101111111100
3222002202100020122110
421122233321233330
5131202241110330
64351240414020
7505411222161
oct113257715774
928082306573
1010112441340
11431a233941
121b62777310
13c52098b01
146bd072068
153e2bbddb0
hex25abf9bfc

10112441340 has 48 divisors (see below), whose sum is σ = 28849087008. Its totient is φ = 2645769984.

The previous prime is 10112441333. The next prime is 10112441359. The reversal of 10112441340 is 4314421101.

It is a super-2 number, since 2×101124413402 (a number of 21 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586827 + ... + 1593186.

It is an arithmetic number, because the mean of its divisors is an integer number (601022646).

Almost surely, 210112441340 is an apocalyptic number.

10112441340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112441340 is an abundant number, since it is smaller than the sum of its proper divisors (18736645668).

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

10112441340 is a wasteful number, since it uses less digits than its factorization.

10112441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180078 (or 3180076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10112441340 its reverse (4314421101), we get a palindrome (14426862441).

The spelling of 10112441340 in words is "ten billion, one hundred twelve million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3180013 6360026 9540039 12720052 15900065 19080078 31800130 38160156 47700195 63600260 95400390 168540689 190800780 337081378 505622067 674162756 842703445 1011244134 1685406890 2022488268 2528110335 3370813780 5056220670 10112441340