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11140420101320 = 2354312974993823
BaseRepresentation
bin1010001000011101010011…
…0010000110010011001000
31110110000101000211220201202
42202013110302012103020
52430011040021220240
635405501025403332
72226603665304656
oct242072462062310
943400330756652
1011140420101320
113605697798424
1212bb108199548
1362a6ca044bc3
142a72b08bbdd6
15144bc4210315
hexa21d4c864c8

11140420101320 has 64 divisors (see below), whose sum is σ = 25668654865920. Its totient is φ = 4349179505664.

The previous prime is 11140420101281. The next prime is 11140420101379. The reversal of 11140420101320 is 2310102404111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11140420101292 and 11140420101301.

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 15 ways as a sum of consecutive naturals, for example, 266072 + ... + 4727751.

It is an arithmetic number, because the mean of its divisors is an integer number (401072732280).

Almost surely, 211140420101320 is an apocalyptic number.

11140420101320 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 11140420101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834327432960).

11140420101320 is an abundant number, since it is smaller than the sum of its proper divisors (14528234764600).

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

11140420101320 is a wasteful number, since it uses less digits than its factorization.

11140420101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995174 (or 4995170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11140420101320 its reverse (2310102404111), we get a palindrome (13450522505431).

The spelling of 11140420101320 in words is "eleven trillion, one hundred forty billion, four hundred twenty million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1297 1720 2594 5188 6485 10376 12970 25940 51880 55771 111542 223084 278855 446168 557710 1115420 2230840 4993823 9987646 19975292 24969115 39950584 49938230 99876460 199752920 214734389 429468778 858937556 1073671945 1717875112 2147343890 4294687780 6476988431 8589375560 12953976862 25907953724 32384942155 51815907448 64769884310 129539768620 259079537240 278510502533 557021005066 1114042010132 1392552512665 2228084020264 2785105025330 5570210050660 11140420101320