Search a number
-
+
1110111201100 = 2252112861352741
BaseRepresentation
bin10000001001110111110…
…010001010011101001100
310221010101120002000002101
4100021313302022131030
5121142001431413400
62205551131404444
7143126406342646
oct20116762123514
93833346060071
101110111201100
11398882918040
1215b191bb3724
13808b582b6c5
143ba302d5896
151dd234c756a
hex10277c8a74c

1110111201100 has 72 divisors (see below), whose sum is σ = 2628861960816. Its totient is φ = 403534560000.

The previous prime is 1110111201049. The next prime is 1110111201119. The reversal of 1110111201100 is 11021110111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2970730 + ... + 3323470.

It is an arithmetic number, because the mean of its divisors is an integer number (36511971678).

Almost surely, 21110111201100 is an apocalyptic number.

1110111201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110111201100 is an abundant number, since it is smaller than the sum of its proper divisors (1518750759716).

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

1110111201100 is a wasteful number, since it uses less digits than its factorization.

1110111201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355627 (or 355620 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1110111201100 its reverse (11021110111), we get a palindrome (1121132311211).

The spelling of 1110111201100 in words is "one trillion, one hundred ten billion, one hundred eleven million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2861 5722 11444 14305 28610 31471 57220 62942 71525 125884 143050 157355 286100 314710 352741 629420 705482 786775 1410964 1573550 1763705 3147100 3527410 3880151 7054820 7760302 8818525 15520604 17637050 19400755 35274100 38801510 77603020 97003775 194007550 388015100 1009192001 2018384002 4036768004 5045960005 10091920010 11101112011 20183840020 22202224022 25229800025 44404448044 50459600050 55505560055 100919200100 111011120110 222022240220 277527800275 555055600550 1110111201100