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11220100101111 = 311199710110211789
BaseRepresentation
bin1010001101000110001000…
…0101001011001111110111
31110201122001001211021222010
42203101202011023033313
52432312231111213421
635510235352335303
72235424353160236
oct243214205131767
943648031737863
1011220100101111
113636465aaa620
1213126449a4533
13635087a98685
142ab0acd58b1d
15146cd956e076
hexa346214b3f7

11220100101111 has 128 divisors (see below), whose sum is σ = 17555023180800. Its totient is φ = 6302914560000.

The previous prime is 11220100101103. The next prime is 11220100101167. The reversal of 11220100101111 is 11110100102211.

11220100101111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11220100101111 - 23 = 11220100101103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220100101211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6271715205 + ... + 6271716993.

It is an arithmetic number, because the mean of its divisors is an integer number (137148618600).

Almost surely, 211220100101111 is an apocalyptic number.

11220100101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220100101111 is a deficient number, since it is larger than the sum of its proper divisors (6334923079689).

11220100101111 is a wasteful number, since it uses less digits than its factorization.

11220100101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11220100101111 its reverse (11110100102211), we get a palindrome (22330200203322).

The spelling of 11220100101111 in words is "eleven trillion, two hundred twenty billion, one hundred million, one hundred one thousand, one hundred eleven".

Divisors: 1 3 11 19 33 57 97 101 209 291 303 627 1021 1067 1111 1789 1843 1919 3063 3201 3333 5367 5529 5757 9797 11231 19399 19679 20273 21109 29391 33693 33991 58197 59037 60819 63327 99037 101973 103121 107767 173533 180689 186143 213389 297111 309363 323301 373901 520599 542067 558429 640167 1089407 1121703 1134331 1826569 1881703 1908863 1959299 1987579 2047573 3268221 3297127 3402993 3433091 5479707 5645109 5726589 5877897 5962737 6142719 9891381 10002737 10299273 17526833 20092259 20698733 21552289 30008211 34704811 36268397 37764001 52580499 60276777 62096199 64656867 104114433 108805191 110030107 113292003 177177193 184483469 190052003 192795163 330090321 333009827 381752921 531531579 553450407 570156009 578385489 999029481 1145258763 1948949123 2029318159 2090572033 3366366667 3505185911 3663108097 5846847369 6087954477 6271716099 10099100001 10515557733 10989324291 17894896493 37030033337 38557045021 53684689479 111090100011 115671135063 196843861423 340003033367 590531584269 1020009100101 3740033367037 11220100101111