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11011220021200 = 2452722811724059
BaseRepresentation
bin1010000000111011111111…
…0110111001111111010000
31102222122212212002210220011
42200032333312321333100
52420401434311134300
635230252403324304
72214351203611360
oct240167766717720
942878785083804
1011011220021200
113565917704a03
12129a06b380694
1361b479ac5959
142a0d3575a9a0
15141661709eba
hexa03bfdb9fd0

11011220021200 has 120 divisors (see below), whose sum is σ = 30246936224960. Its totient is φ = 3773618150400.

The previous prime is 11011220021143. The next prime is 11011220021201. The reversal of 11011220021200 is 212002211011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011220021201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5524771 + ... + 7248829.

Almost surely, 211011220021200 is an apocalyptic number.

11011220021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011220021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123468112480).

11011220021200 is an abundant number, since it is smaller than the sum of its proper divisors (19235716203760).

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

11011220021200 is a wasteful number, since it uses less digits than its factorization.

11011220021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726365 (or 1726354 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11011220021200 its reverse (212002211011), we get a palindrome (11223222232211).

The spelling of 11011220021200 in words is "eleven trillion, eleven billion, two hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2281 2800 4562 9124 11405 15967 18248 22810 31934 36496 45620 57025 63868 79835 91240 114050 127736 159670 182480 228100 255472 319340 399175 456200 638680 798350 912400 1277360 1596700 1724059 3193400 3448118 6386800 6896236 8620295 12068413 13792472 17240590 24136826 27584944 34481180 43101475 48273652 60342065 68962360 86202950 96547304 120684130 137924720 172405900 193094608 241368260 301710325 344811800 482736520 603420650 689623600 965473040 1206841300 2413682600 3932578579 4827365200 7865157158 15730314316 19662892895 27528050053 31460628632 39325785790 55056100106 62921257264 78651571580 98314464475 110112200212 137640250265 157303143160 196628928950 220224400424 275280500530 314606286320 393257857900 440448800848 550561001060 688201251325 786515715800 1101122002120 1376402502650 1573031431600 2202244004240 2752805005300 5505610010600 11011220021200