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11221002100110 = 23511371951471041
BaseRepresentation
bin1010001101001001011111…
…0110000001110110001110
31110201201100221002120222110
42203102113312001312032
52432321103014200420
635510505053324450
72235455615063025
oct243222766016616
943651327076873
1011221002100110
113636889177840
121312856a96726
1363519c911baa
142ab156a758bc
15146d3d842ee0
hexa3497d81d8e

11221002100110 has 128 divisors (see below), whose sum is σ = 30188169842688. Its totient is φ = 2645360640000.

The previous prime is 11221002100109. The next prime is 11221002100163. The reversal of 11221002100110 is 1100120012211.

11221002100110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112210021001103 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23586190 + ... + 24057230.

It is an arithmetic number, because the mean of its divisors is an integer number (235845076896).

Almost surely, 211221002100110 is an apocalyptic number.

11221002100110 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 11221002100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094084921344).

11221002100110 is an abundant number, since it is smaller than the sum of its proper divisors (18967167742578).

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

11221002100110 is a wasteful number, since it uses less digits than its factorization.

11221002100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473050.

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

Adding to 11221002100110 its reverse (1100120012211), we get a palindrome (12321122112321).

The spelling of 11221002100110 in words is "eleven trillion, two hundred twenty-one billion, two million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 1951 2035 2442 3902 4070 5853 6105 9755 11706 12210 19510 21461 29265 42922 58530 64383 72187 107305 128766 144374 214610 216561 321915 360935 433122 471041 643830 721870 794057 942082 1082805 1413123 1588114 2165610 2355205 2382171 2826246 3970285 4710410 4764342 5181451 7065615 7940570 10362902 11910855 14131230 15544353 17428517 23821710 25907255 31088706 34857034 51814510 52285551 77721765 87142585 104571102 155443530 174285170 191713687 261427755 383427374 522855510 575141061 919000991 958568435 1150282122 1838001982 1917136870 2757002973 2875705305 4595004955 5514005946 5751410610 9190009910 10109010901 13785014865 20218021802 27570029730 30327032703 34003036667 50545054505 60654065406 68006073334 101090109010 102009110001 151635163515 170015183335 204018220002 303270327030 340030366670 374033403337 510045550005 748066806674 1020091100010 1122100210011 1870167016685 2244200420022 3740334033370 5610501050055 11221002100110