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11122221220 = 225111391492441
BaseRepresentation
bin10100101101110111…
…11010000010100100
31001201010102101020021
422112323322002210
5140234242034340
65035351444524
7542422214635
oct122673720244
931633371207
1011122221220
114798227470
1221a4986744
13108334b5b6
1477720788c
15451682e4a
hex296efa0a4

11122221220 has 96 divisors (see below), whose sum is σ = 25846128000. Its totient is φ = 3986764800.

The previous prime is 11122221211. The next prime is 11122221247. The reversal of 11122221220 is 2212222111.

It is a happy number.

11122221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11122221194 and 11122221203.

It is an unprimeable number.

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, 4555200 + ... + 4557640.

It is an arithmetic number, because the mean of its divisors is an integer number (269230500).

Almost surely, 211122221220 is an apocalyptic number.

11122221220 is a gapful number since it is divisible by the number (10) 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 11122221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923064000).

11122221220 is an abundant number, since it is smaller than the sum of its proper divisors (14723906780).

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

11122221220 is a wasteful number, since it uses less digits than its factorization.

11122221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11122221220 its reverse (2212222111), we get a palindrome (13334443331).

The spelling of 11122221220 in words is "eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 149 220 278 298 556 596 695 745 1390 1490 1529 1639 2441 2780 2980 3058 3278 4882 6116 6556 7645 8195 9764 12205 15290 16390 20711 24410 26851 30580 32780 41422 48820 53702 82844 103555 107404 134255 207110 227821 268510 339299 363709 414220 455642 537020 678598 727418 911284 1139105 1357196 1454836 1696495 1818545 2278210 3392990 3637090 3732289 4000799 4556420 6785980 7274180 7464578 8001598 14929156 16003196 18661445 20003995 37322890 40007990 50555551 74645780 80015980 101111102 202222204 252777755 505555510 556111061 1011111020 1112222122 2224444244 2780555305 5561110610 11122221220