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1101120100220 = 2257223314993217
BaseRepresentation
bin10000000001011111110…
…111110101011101111100
310220021011221201202101002
4100001133313311131330
5121020043221201340
62201503025105432
7142360532264600
oct20013767653574
93807157652332
101101120100220
11394a89654958
121594a2a88278
137cab1b75b7a
143b41a159500
151d998ea7715
hex1005fdf577c

1101120100220 has 144 divisors (see below), whose sum is σ = 2704066092000. Its totient is φ = 375539060736.

The previous prime is 1101120100181. The next prime is 1101120100271. The reversal of 1101120100220 is 220010211011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342280052 + ... + 342283268.

It is an arithmetic number, because the mean of its divisors is an integer number (18778236750).

Almost surely, 21101120100220 is an apocalyptic number.

1101120100220 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 1101120100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352033046000).

1101120100220 is an abundant number, since it is smaller than the sum of its proper divisors (1602945991780).

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

1101120100220 is a wasteful number, since it uses less digits than its factorization.

1101120100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4963 counting only the distinct ones).

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

Adding to 1101120100220 its reverse (220010211011), we get a palindrome (1321130311231).

The spelling of 1101120100220 in words is "one trillion, one hundred one billion, one hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 233 245 466 490 932 980 1165 1499 1631 2330 2998 3217 3262 4660 5996 6434 6524 7495 8155 10493 11417 12868 14990 16085 16310 20986 22519 22834 29980 32170 32620 41972 45038 45668 52465 57085 64340 73451 90076 104930 112595 114170 146902 157633 209860 225190 228340 293804 315266 349267 367255 450380 630532 698534 734510 749561 788165 1397068 1469020 1499122 1576330 1746335 2444869 2998244 3152660 3492670 3747805 4822283 4889738 5246927 6985340 7495610 9644566 9779476 10493854 12224345 14991220 17114083 19289132 20987708 24111415 24448690 26234635 33755981 34228166 36728489 48222830 48897380 52469270 67511962 68456332 73456978 85570415 96445660 104938540 135023924 146913956 168779905 171140830 183642445 236291867 337559810 342281660 367284890 472583734 675119620 734569780 945167468 1123591939 1181459335 2247183878 2362918670 4494367756 4725837340 5617959695 7865143573 11235919390 15730287146 22471838780 31460574292 39325717865 55056005011 78651435730 110112010022 157302871460 220224020044 275280025055 550560050110 1101120100220