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1100221301130 = 235719397694571
BaseRepresentation
bin10000000000101010010…
…011001100000110001010
310220011212022111000210220
4100000222103030012022
5121011223123114010
62201233520450510
7142326336520230
oct20005223140612
93804768430726
101100221301130
11394668272896
12159291a79a36
137c99a8acca3
143b372a32950
151d945116970
hex1002a4cc18a

1100221301130 has 128 divisors (see below), whose sum is σ = 3184584837120. Its totient is φ = 237642958080.

The previous prime is 1100221301009. The next prime is 1100221301131. The reversal of 1100221301130 is 311031220011.

It is a happy number.

It is a super-2 number, since 2×11002213011302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1100221301131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1236745 + ... + 1931315.

It is an arithmetic number, because the mean of its divisors is an integer number (24879569040).

Almost surely, 21100221301130 is an apocalyptic number.

1100221301130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100221301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592292418560).

1100221301130 is an abundant number, since it is smaller than the sum of its proper divisors (2084363535990).

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

1100221301130 is a wasteful number, since it uses less digits than its factorization.

1100221301130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695004.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1100221301130 its reverse (311031220011), we get a palindrome (1411252521141).

The spelling of 1100221301130 in words is "one trillion, one hundred billion, two hundred twenty-one million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 397 399 570 665 794 798 1191 1330 1985 1995 2382 2779 3970 3990 5558 5955 7543 8337 11910 13895 15086 16674 22629 27790 37715 41685 45258 52801 75430 83370 105602 113145 158403 226290 264005 316806 528010 694571 792015 1389142 1584030 2083713 3472855 4167426 4861997 6945710 9723994 10418565 13196849 14585991 20837130 24309985 26393698 29171982 39590547 48619970 65984245 72929955 79181094 92377943 131968490 145859910 184755886 197952735 275744687 277133829 395905470 461889715 551489374 554267658 827234061 923779430 1378723435 1385669145 1654468122 1930212809 2757446870 2771338290 3860425618 4136170305 5239149053 5790638427 8272340610 9651064045 10478298106 11581276854 15717447159 19302128090 26195745265 28953192135 31434894318 36674043371 52391490530 57906384270 73348086742 78587235795 110022130113 157174471590 183370216855 220044260226 366740433710 550110650565 1100221301130