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1100121220110 = 2351121072832371
BaseRepresentation
bin10000000000100100010…
…101011010010000001110
310220011121100011101110110
4100000210111122100032
5121011022013020420
62201215543420450
7142324013036643
oct20004425322016
93804540141413
101100121220110
11394616826500
12159264454726
137c982c3b653
143b36361ddca
151d93b447ee0
hex1002455a40e

1100121220110 has 96 divisors (see below), whose sum is σ = 2929261781376. Its totient is φ = 264203473600.

The previous prime is 1100121220091. The next prime is 1100121220117. The reversal of 1100121220110 is 110221210011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100121220117) 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 47 ways as a sum of consecutive naturals, for example, 1027776 + ... + 1804595.

It is an arithmetic number, because the mean of its divisors is an integer number (30513143556).

Almost surely, 21100121220110 is an apocalyptic number.

1100121220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100121220110 is an abundant number, since it is smaller than the sum of its proper divisors (1829140561266).

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

1100121220110 is a wasteful number, since it uses less digits than its factorization.

1100121220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832510 (or 2832499 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100121220110 its reverse (110221210011), we get a palindrome (1210342430121).

It can be divided in two parts, 1100121 and 220110, that added together give a palindrome (1320231).

The spelling of 1100121220110 in words is "one trillion, one hundred billion, one hundred twenty-one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 121 165 214 242 321 330 363 535 605 642 726 1070 1177 1210 1605 1815 2354 3210 3531 3630 5885 7062 11770 12947 17655 25894 35310 38841 64735 77682 129470 194205 388410 2832371 5664742 8497113 14161855 16994226 28323710 31156081 42485565 62312162 84971130 93468243 155780405 186936486 303063697 311560810 342716891 467341215 606127394 685433782 909191091 934682430 1028150673 1515318485 1713584455 1818382182 2056301346 3030636970 3333700667 3427168910 4545955455 5140753365 6667401334 9091910910 10001102001 10281506730 16668503335 20002204002 33337006670 36670707337 50005510005 73341414674 100011020010 110012122011 183353536685 220024244022 366707073370 550060610055 1100121220110