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11212344240 = 2435291610969
BaseRepresentation
bin10100111000100111…
…01100101110110000
31001221102000002202220
422130103230232300
5140430330003430
65052331241040
7544565232156
oct123423545660
931842002686
1011212344240
1148340921a9
12220aba9180
131098c14526
147851873d6
15459536110
hex29c4ecbb0

11212344240 has 80 divisors (see below), whose sum is σ = 35956850400. Its totient is φ = 2886854656.

The previous prime is 11212344197. The next prime is 11212344263. The reversal of 11212344240 is 4244321211.

11212344240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112123442402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11212344240.

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, 798525 + ... + 812444.

It is an arithmetic number, because the mean of its divisors is an integer number (449460630).

Almost surely, 211212344240 is an apocalyptic number.

11212344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212344240 is an abundant number, since it is smaller than the sum of its proper divisors (24744506160).

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

11212344240 is a wasteful number, since it uses less digits than its factorization.

11212344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611014 (or 1611008 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11212344240 its reverse (4244321211), we get a palindrome (15456665451).

The spelling of 11212344240 in words is "eleven billion, two hundred twelve million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1610969 3221938 4832907 6443876 8054845 9665814 12887752 16109690 19331628 24164535 25775504 32219380 38663256 46718101 48329070 64438760 77326512 93436202 96658140 128877520 140154303 186872404 193316280 233590505 280308606 373744808 386632560 467181010 560617212 700771515 747489616 934362020 1121234424 1401543030 1868724040 2242468848 2803086060 3737448080 5606172120 11212344240