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11102141411400 = 23352131423351463
BaseRepresentation
bin1010000110001110101100…
…1100011111000001001000
31110022100120022201222202110
42201203223030133001020
52423344141200131100
635340130420302320
72224050261642624
oct241435314370110
943270508658673
1011102141411400
1135a04344380a6
1212b38048419a0
13626c09790720
142a54bcb82184
15143bd38db250
hexa18eb31f048

11102141411400 has 96 divisors (see below), whose sum is σ = 37064072122560. Its totient is φ = 2732834807040.

The previous prime is 11102141411353. The next prime is 11102141411419. The reversal of 11102141411400 is 411414120111.

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 23 ways as a sum of consecutive naturals, for example, 711667932 + ... + 711683531.

It is an arithmetic number, because the mean of its divisors is an integer number (386084084610).

Almost surely, 211102141411400 is an apocalyptic number.

11102141411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102141411400 is an abundant number, since it is smaller than the sum of its proper divisors (25961930711160).

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

11102141411400 is a wasteful number, since it uses less digits than its factorization.

11102141411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423351495 (or 1423351486 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 11102141411400 its reverse (411414120111), we get a palindrome (11513555531511).

The spelling of 11102141411400 in words is "eleven trillion, one hundred two billion, one hundred forty-one million, four hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 1423351463 2846702926 4270054389 5693405852 7116757315 8540108778 11386811704 14233514630 17080217556 18503569019 21350271945 28467029260 34160435112 35583786575 37007138038 42700543890 55510707057 56934058520 71167573150 74014276076 85401087780 92517845095 106751359725 111021414114 142335146300 148028552152 170802175560 185035690190 213502719450 222042828228 277553535285 284670292600 370071380380 427005438900 444085656456 462589225475 555107070570 740142760760 854010877800 925178450950 1110214141140 1387767676425 1850356901900 2220428282280 2775535352850 3700713803800 5551070705700 11102141411400