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11020120120100 = 22527131489813299
BaseRepresentation
bin1010000001011101001001…
…0110000101101100100100
31110000111212010012200100202
42200113102112011230210
52421023201222320400
635234323455330032
72215114564321520
oct240272226055444
943014763180322
1011020120120100
113569674571a43
12129b933b20918
1361c267968470
142a153b7a8d80
151419d2c514d5
hexa05d2585b24

11020120120100 has 144 divisors (see below), whose sum is σ = 29452000368000. Its totient is φ = 3485339781120.

The previous prime is 11020120120019. The next prime is 11020120120103. The reversal of 11020120120100 is 102102102011.

It is a super-2 number, since 2×110201201201002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11020120120103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13143251 + ... + 13956549.

Almost surely, 211020120120100 is an apocalyptic number.

11020120120100 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 11020120120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726000184000).

11020120120100 is an abundant number, since it is smaller than the sum of its proper divisors (18431880247900).

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

11020120120100 is a wasteful number, since it uses less digits than its factorization.

11020120120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814822 (or 814815 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11020120120100 its reverse (102102102011), we get a palindrome (11122222222111).

The spelling of 11020120120100 in words is "eleven trillion, twenty billion, one hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1489 1820 2275 2978 4550 5956 7445 9100 10423 14890 19357 20846 29780 37225 38714 41692 52115 74450 77428 96785 104230 135499 148900 193570 208460 260575 270998 387140 483925 521150 541996 677495 813299 967850 1042300 1354990 1626598 1935700 2709980 3253196 3387475 4066495 5693093 6774950 8132990 10572887 11386186 13549900 16265980 20332475 21145774 22772372 28465465 40664950 42291548 52864435 56930930 74010209 81329900 105728870 113861860 142327325 148020418 211457740 264322175 284654650 296040836 370051045 528644350 569309300 740102090 1057288700 1211002211 1480204180 1850255225 2422004422 3700510450 4844008844 6055011055 7401020900 8477015477 12110022110 15743028743 16954030954 24220044220 30275055275 31486057486 33908061908 42385077385 60550110550 62972114972 78715143715 84770154770 110201201201 121100221100 157430287430 169540309540 211925386925 220402402402 314860574860 393575718575 423850773850 440804804804 551006006005 787151437150 847701547700 1102012012010 1574302874300 2204024024020 2755030030025 5510060060050 11020120120100