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11241323240 = 235725735369
BaseRepresentation
bin10100111100000100…
…01111101011101000
31002000102112101111012
422132002033223220
5141010234320430
65055244323052
7545366446100
oct123602175350
932012471435
1011241323240
114849485594
122218843488
1310a1c1c874
14788d6c200
1545bd5c695
hex29e08fae8

11241323240 has 48 divisors (see below), whose sum is σ = 29422448100. Its totient is φ = 3854167296.

The previous prime is 11241323237. The next prime is 11241323243. The reversal of 11241323240 is 4232314211.

11241323240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11241323237) and next prime (11241323243).

It can be written as a sum of positive squares in 2 ways, for example, as 10811424484 + 429898756 = 103978^2 + 20734^2 .

It is not an unprimeable number, because it can be changed into a prime (11241323243) 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 11 ways as a sum of consecutive naturals, for example, 2865725 + ... + 2869644.

Almost surely, 211241323240 is an apocalyptic number.

11241323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241323240 is an abundant number, since it is smaller than the sum of its proper divisors (18181124860).

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

11241323240 is a wasteful number, since it uses less digits than its factorization.

11241323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735394 (or 5735383 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 11241323240 its reverse (4232314211), we get a palindrome (15473637451).

The spelling of 11241323240 in words is "eleven billion, two hundred forty-one million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5735369 11470738 22941476 28676845 40147583 45882952 57353690 80295166 114707380 160590332 200737915 229414760 281033081 321180664 401475830 562066162 802951660 1124132324 1405165405 1605903320 2248264648 2810330810 5620661620 11241323240