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11011100101110 = 23253713923788753
BaseRepresentation
bin1010000000111011100010…
…1101011100100111110110
31102222122120111110020110100
42200032320231130213312
52420401213111213420
635230232441134530
72214345216402204
oct240167055344766
942878514406410
1011011100101110
113565865a4819a
12129a03718a446
1361b45acc9215
142a0d23862074
15141655e1d190
hexa03b8b5c9f6

11011100101110 has 96 divisors (see below), whose sum is σ = 29614144079520. Its totient is φ = 2836380478464.

The previous prime is 11011100101091. The next prime is 11011100101117. The reversal of 11011100101110 is 1110100111011.

Adding to 11011100101110 its reverse (1110100111011), we get a palindrome (12121200212121).

Subtracting from 11011100101110 its reverse (1110100111011), we obtain a palindrome (9900999990099).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11011100101092 and 11011100101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011100101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11431507 + ... + 12357246.

It is an arithmetic number, because the mean of its divisors is an integer number (308480667495).

Almost surely, 211011100101110 is an apocalyptic number.

11011100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11011100101110 is an abundant number, since it is smaller than the sum of its proper divisors (18603043978410).

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

11011100101110 is a wasteful number, since it uses less digits than its factorization.

11011100101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23788942 (or 23788939 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 11011100101110 in words is "eleven trillion, eleven billion, one hundred million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 139 185 222 278 333 370 417 555 666 695 834 1110 1251 1390 1665 2085 2502 3330 4170 5143 6255 10286 12510 15429 25715 30858 46287 51430 77145 92574 154290 231435 462870 23788753 47577506 71366259 118943765 142732518 214098777 237887530 356831295 428197554 713662590 880183861 1070493885 1760367722 2140987770 2640551583 3306636667 4400919305 5281103166 6613273334 7921654749 8801838610 9919910001 13202757915 15843309498 16533183335 19839820002 26405515830 29759730003 33066366670 39608273745 49599550005 59519460006 79216547490 99199100010 122345556679 148798650015 244691113358 297597300030 367036670037 611727783395 734073340074 1101110010111 1223455566790 1835183350185 2202220020222 3670366700370 5505550050555 11011100101110