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11311241340 = 223573549623
BaseRepresentation
bin10101000100011001…
…11101100001111100
31002012022002121002110
422202030331201330
5141131134210330
65110223054020
7550205652000
oct124214754174
932168077073
1011311241340
1148849a0043
122238141310
1310b3560019
1479436c700
1546306ddb0
hex2a233d87c

11311241340 has 96 divisors (see below), whose sum is σ = 36934732800. Its totient is φ = 2585421888.

The previous prime is 11311241317. The next prime is 11311241341. The reversal of 11311241340 is 4314211311.

11311241340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311241341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 254232 + ... + 295391.

It is an arithmetic number, because the mean of its divisors is an integer number (384736800).

Almost surely, 211311241340 is an apocalyptic number.

11311241340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311241340 is an abundant number, since it is smaller than the sum of its proper divisors (25623491460).

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

11311241340 is a wasteful number, since it uses less digits than its factorization.

11311241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549656 (or 549640 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11311241340 its reverse (4314211311), we get a palindrome (15625452651).

The spelling of 11311241340 in words is "eleven billion, three hundred eleven million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6860 10290 20580 549623 1099246 1648869 2198492 2748115 3297738 3847361 5496230 6595476 7694722 8244345 10992460 11542083 15389444 16488690 19236805 23084166 26931527 32977380 38473610 46168332 53863054 57710415 76947220 80794581 107726108 115420830 134657635 161589162 188520689 230841660 269315270 323178324 377041378 403972905 538630540 565562067 754082756 807945810 942603445 1131124134 1615891620 1885206890 2262248268 2827810335 3770413780 5655620670 11311241340