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11021221092 = 2237199771191
BaseRepresentation
bin10100100001110101…
…00111110011100100
31001110002101001002210
422100322213303210
5140032413033332
65021343003420
7540054555630
oct122072476344
931402331083
1011021221092
114746212592
122176b99570
1310684477cb
14767a35dc0
15447881ecc
hex290ea7ce4

11021221092 has 96 divisors (see below), whose sum is σ = 31256135680. Its totient is φ = 2952391680.

The previous prime is 11021221061. The next prime is 11021221093. The reversal of 11021221092 is 29012212011.

11021221092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11021221093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119217 + ... + 190407.

Almost surely, 211021221092 is an apocalyptic number.

11021221092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021221092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628067840).

11021221092 is an abundant number, since it is smaller than the sum of its proper divisors (20234914588).

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

11021221092 is a wasteful number, since it uses less digits than its factorization.

11021221092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71321 (or 71319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 11021221092 in words is "eleven billion, twenty-one million, two hundred twenty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 97 114 133 194 228 266 291 388 399 532 582 679 798 1164 1358 1596 1843 2037 2716 3686 4074 5529 7372 8148 11058 12901 22116 25802 38703 51604 71191 77406 142382 154812 213573 284764 427146 498337 854292 996674 1352629 1495011 1993348 2705258 2990022 4057887 5410516 5980044 6905527 8115774 9468403 13811054 16231548 18936806 20716581 27622108 28405209 37873612 41433162 48338689 56810418 82866324 96677378 113620836 131205013 145016067 193354756 262410026 290032134 393615039 524820052 580064268 787230078 918435091 1574460156 1836870182 2755305273 3673740364 5510610546 11021221092