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11221100011110 = 23511101617545651
BaseRepresentation
bin1010001101001001110110…
…1011100001111001100110
31110201201121202022222121210
42203102131223201321212
52432321303100323420
635510522512052250
72235461214234603
oct243223553417146
943651552288553
1011221100011110
113636929471820
121312883834086
136351b6ca38b2
142ab165a816aa
15146d472339e0
hexa349dae1e66

11221100011110 has 128 divisors (see below), whose sum is σ = 29717901623808. Its totient is φ = 2688963200000.

The previous prime is 11221100011097. The next prime is 11221100011111. The reversal of 11221100011110 is 1111000112211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221100011111) 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 63 ways as a sum of consecutive naturals, for example, 20291785 + ... + 20837435.

It is an arithmetic number, because the mean of its divisors is an integer number (232171106436).

Almost surely, 211221100011110 is an apocalyptic number.

11221100011110 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 11221100011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858950811904).

11221100011110 is an abundant number, since it is smaller than the sum of its proper divisors (18496801612698).

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

11221100011110 is a wasteful number, since it uses less digits than its factorization.

11221100011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546390.

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

Adding to 11221100011110 its reverse (1111000112211), we get a palindrome (12332100123321).

The spelling of 11221100011110 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 617 1010 1111 1234 1515 1851 2222 3030 3085 3333 3702 5555 6170 6666 6787 9255 11110 13574 16665 18510 20361 33330 33935 40722 62317 67870 101805 124634 186951 203610 311585 373902 545651 623170 685487 934755 1091302 1370974 1636953 1869510 2056461 2728255 3273906 3427435 4112922 5456510 6002161 6854870 8184765 10282305 12004322 16369530 18006483 20564610 30010805 36012966 55110751 60021610 90032415 110221502 165332253 180064830 275553755 330664506 336666667 551107510 606218261 673333334 826661265 1010000001 1212436522 1653322530 1683333335 1818654783 2020000002 3031091305 3366666670 3637309566 3703333337 5050000005 6062182610 7406666674 9093273915 10100000010 11110000011 18186547830 18516666685 22220000022 34003333367 37033333370 55550000055 68006666734 102010000101 111100000110 170016666835 204020000202 340033333670 374036667037 510050000505 748073334074 1020100001010 1122110001111 1870183335185 2244220002222 3740366670370 5610550005555 11221100011110