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11211431348320 = 255715836323567
BaseRepresentation
bin1010001100100101110101…
…1000100000100001100000
31110200210122221001000200221
42203021131120200201200
52432142002411121240
635502243243052424
72234666502040420
oct243113530404140
943623587030627
1011211431348320
113632817795315
121310a25811114
13634305b36a58
142aa8c992c480
1514697d4c4a4a
hexa325d620860

11211431348320 has 96 divisors (see below), whose sum is σ = 30289991897088. Its totient is φ = 3841490462208.

The previous prime is 11211431348303. The next prime is 11211431348353. The reversal of 11211431348320 is 2384313411211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388824 + ... + 4934743.

It is an arithmetic number, because the mean of its divisors is an integer number (315520748928).

Almost surely, 211211431348320 is an apocalyptic number.

11211431348320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211431348320 is an abundant number, since it is smaller than the sum of its proper divisors (19078560548768).

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

11211431348320 is a wasteful number, since it uses less digits than its factorization.

11211431348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325172 (or 6325164 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 11211431348320 its reverse (2384313411211), we get a palindrome (13595744759531).

The spelling of 11211431348320 in words is "eleven trillion, two hundred eleven billion, four hundred thirty-one million, three hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1583 3166 6332 7915 11081 12664 15830 22162 25328 31660 44324 50656 55405 63320 88648 110810 126640 177296 221620 253280 354592 443240 886480 1772960 6323567 12647134 25294268 31617835 44264969 50588536 63235670 88529938 101177072 126471340 177059876 202354144 221324845 252942680 354119752 442649690 505885360 708239504 885299380 1011770720 1416479008 1770598760 3541197520 7082395040 10010206561 20020413122 40040826244 50051032805 70071445927 80081652488 100102065610 140142891854 160163304976 200204131220 280285783708 320326609952 350357229635 400408262440 560571567416 700714459270 800816524880 1121143134832 1401428918540 1601633049760 2242286269664 2802857837080 5605715674160 11211431348320