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11341414031100 = 22352233162251989
BaseRepresentation
bin1010010100001010000011…
…1101000101111011111100
31111011020011122101110120020
42211002200331011323330
52441304203442443400
640042101303052140
72250250545441306
oct245024075057374
944136148343506
1011341414031100
11368295960679a
121332060741050
1364364c2572ba
142b2cda9aa976
1514a039a672a0
hexa50a0f45efc

11341414031100 has 72 divisors (see below), whose sum is σ = 32955326192880. Its totient is φ = 3011396897280.

The previous prime is 11341414031083. The next prime is 11341414031113. The reversal of 11341414031100 is 113041414311.

11341414031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81056095 + ... + 81195894.

It is an arithmetic number, because the mean of its divisors is an integer number (457712863790).

Almost surely, 211341414031100 is an apocalyptic number.

11341414031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11341414031100 is an abundant number, since it is smaller than the sum of its proper divisors (21613912161780).

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

11341414031100 is a wasteful number, since it uses less digits than its factorization.

11341414031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162252239 (or 162252232 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11341414031100 its reverse (113041414311), we get a palindrome (11454455445411).

The spelling of 11341414031100 in words is "eleven trillion, three hundred forty-one billion, four hundred fourteen million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 2330 2796 3495 4660 5825 6990 11650 13980 17475 23300 34950 69900 162251989 324503978 486755967 649007956 811259945 973511934 1622519890 1947023868 2433779835 3245039780 4056299725 4867559670 8112599450 9735119340 12168899175 16225198900 24337798350 37804713437 48675596700 75609426874 113414140311 151218853748 189023567185 226828280622 378047134370 453656561244 567070701555 756094268740 945117835925 1134141403110 1890235671850 2268282806220 2835353507775 3780471343700 5670707015550 11341414031100