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11100200002220 = 2257417692514737
BaseRepresentation
bin1010000110000111011101…
…1110100110001010101100
31110022011120000122012000202
42201201313132212022230
52423331202200032340
635335210025213032
72223651206145560
oct241416736461254
943264500565022
1011100200002220
11359a6285796aa
1212b3362631178
1362698a4bbab4
142a5376db96a0
15143b1d24dc15
hexa18777a62ac

11100200002220 has 96 divisors (see below), whose sum is σ = 27325746645120. Its totient is φ = 3708129116160.

The previous prime is 11100200002207. The next prime is 11100200002363. The reversal of 11100200002220 is 2220000200111.

It is a happy number.

11100200002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3156692 + ... + 5671428.

It is an arithmetic number, because the mean of its divisors is an integer number (284643194220).

Almost surely, 211100200002220 is an apocalyptic number.

11100200002220 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 11100200002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662873322560).

11100200002220 is an abundant number, since it is smaller than the sum of its proper divisors (16225546642900).

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

11100200002220 is a wasteful number, since it uses less digits than its factorization.

11100200002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515563 (or 2515561 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11100200002220 its reverse (2220000200111), we get a palindrome (13320200202331).

The spelling of 11100200002220 in words is "eleven trillion, one hundred billion, two hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 769 820 1148 1435 1538 2870 3076 3845 5383 5740 7690 10766 15380 21532 26915 31529 53830 63058 107660 126116 157645 220703 315290 441406 630580 882812 1103515 2207030 2514737 4414060 5029474 10058948 12573685 17603159 25147370 35206318 50294740 70412636 88015795 103104217 176031590 206208434 352063180 412416868 515521085 721729519 1031042170 1443459038 1933832753 2062084340 2886918076 3608647595 3867665506 7217295190 7735331012 9669163765 13536829271 14434590380 19338327530 27073658542 38676655060 54147317084 67684146355 79287142873 135368292710 158574285746 270736585420 317148571492 396435714365 555010000111 792871428730 1110020000222 1585742857460 2220040000444 2775050000555 5550100001110 11100200002220