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1102202112011 = 7111323591814483
BaseRepresentation
bin10000000010100000010…
…111011000100000001011
310220100222100201122111212
4100002200113120200023
5121024302220041021
62202202240243335
7142426411241120
oct20024027304013
93810870648455
101102202112011
113954943a3380
1215974531054b
137cc25099030
143b4bdb34747
151da0de8885b
hex100a05d880b

1102202112011 has 128 divisors (see below), whose sum is σ = 1579424071680. Its totient is φ = 741186547200.

The previous prime is 1102202112007. The next prime is 1102202112013. The reversal of 1102202112011 is 1102112022011.

It is not a de Polignac number, because 1102202112011 - 22 = 1102202112007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102202112013) 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 127 ways as a sum of consecutive naturals, for example, 245860376 + ... + 245864858.

It is an arithmetic number, because the mean of its divisors is an integer number (12339250560).

Almost surely, 21102202112011 is an apocalyptic number.

1102202112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102202112011 is a deficient number, since it is larger than the sum of its proper divisors (477221959669).

1102202112011 is a wasteful number, since it uses less digits than its factorization.

1102202112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102202112011 its reverse (1102112022011), we get a palindrome (2204314134022).

The spelling of 1102202112011 in words is "one trillion, one hundred two billion, two hundred two million, one hundred twelve thousand, eleven".

Divisors: 1 7 11 13 23 59 77 91 143 161 181 253 299 413 649 767 1001 1267 1357 1771 1991 2093 2353 3289 4163 4483 4543 5369 8437 9499 10679 13937 14927 16471 17641 23023 25883 29141 31381 45793 49313 54119 58279 59059 74753 103109 104489 117469 123487 138827 181181 194051 245617 264497 320551 345191 378833 407953 595309 641069 721763 811423 822283 971789 1134199 1340417 1358357 1527097 1719319 1851479 2701787 2909467 3193021 3438461 4167163 4487483 5679961 6083431 7939393 8925653 9382919 10548499 10689679 14744587 18662729 18912509 20366269 22351147 24069227 35123231 37823071 42584017 47873957 62479571 66917741 73839493 79084603 103212109 116033489 130639103 205290019 242615477 245862617 264761497 335117699 468424187 526613527 553592221 622361441 812234423 869930633 1101101011 1437030133 1698308339 2668770247 3686294689 4356530087 6089514431 6845975851 7707707077 12112111121 14314313143 18681391729 47921830957 84784777847 100200192001 157457444573 1102202112011