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11310412221240 = 2335118568494107
BaseRepresentation
bin1010010010010110100100…
…0110100100101100111000
31111001021011002000100102020
42210211221012210230320
52440302211012034430
640015533122434440
72245102362423066
oct244455106445470
944037132010366
1011310412221240
11367079a923130
12132804a202a20
1364074b470302
142b15d94a3036
15149323000b10
hexa49691a4b38

11310412221240 has 64 divisors (see below), whose sum is σ = 37015894546560. Its totient is φ = 2741918113920.

The previous prime is 11310412221197. The next prime is 11310412221271. The reversal of 11310412221240 is 4212221401311.

It is a super-2 number, since 2×113104122212402 (a number of 27 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 11310412221240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4284245734 + ... + 4284248373.

It is an arithmetic number, because the mean of its divisors is an integer number (578373352290).

Almost surely, 211310412221240 is an apocalyptic number.

11310412221240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310412221240 is an abundant number, since it is smaller than the sum of its proper divisors (25705482325320).

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

11310412221240 is a wasteful number, since it uses less digits than its factorization.

11310412221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568494132 (or 8568494128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11310412221240 its reverse (4212221401311), we get a palindrome (15522633622551).

The spelling of 11310412221240 in words is "eleven trillion, three hundred ten billion, four hundred twelve million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8568494107 17136988214 25705482321 34273976428 42842470535 51410964642 68547952856 85684941070 94253435177 102821929284 128527411605 171369882140 188506870354 205643858568 257054823210 282760305531 342739764280 377013740708 471267175885 514109646420 565520611062 754027481416 942534351770 1028219292840 1131041222124 1413801527655 1885068703540 2262082444248 2827603055310 3770137407080 5655206110620 11310412221240