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11242122110220 = 22351983118813381
BaseRepresentation
bin1010001110011000001010…
…1100011110010100001100
31110210201212211010021021010
42203212002230132110030
52433142331230011340
635524320512405220
72240134160153361
oct243460254362414
943721784107233
1011242122110220
113644836938a51
12131696bb46810
136371873553b1
142ac19b9c8468
15147677a98b80
hexa3982b1e50c

11242122110220 has 96 divisors (see below), whose sum is σ = 33533888935680. Its totient is φ = 2805896782080.

The previous prime is 11242122110207. The next prime is 11242122110221. The reversal of 11242122110220 is 2201122124211.

It is not an unprimeable number, because it can be changed into a prime (11242122110221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59312071 + ... + 59501310.

It is an arithmetic number, because the mean of its divisors is an integer number (349311343080).

Almost surely, 211242122110220 is an apocalyptic number.

11242122110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242122110220 is an abundant number, since it is smaller than the sum of its proper divisors (22291766825460).

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

11242122110220 is a wasteful number, since it uses less digits than its factorization.

11242122110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118813495 (or 118813493 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11242122110220 its reverse (2201122124211), we get a palindrome (13443244234431).

The spelling of 11242122110220 in words is "eleven trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 83 95 114 166 190 228 249 285 332 380 415 498 570 830 996 1140 1245 1577 1660 2490 3154 4731 4980 6308 7885 9462 15770 18924 23655 31540 47310 94620 118813381 237626762 356440143 475253524 594066905 712880286 1188133810 1425760572 1782200715 2257454239 2376267620 3564401430 4514908478 6772362717 7128802860 9029816956 9861510623 11287271195 13544725434 19723021246 22574542390 27089450868 29584531869 33861813585 39446042492 45149084780 49307553115 59169063738 67723627170 98615106230 118338127476 135447254340 147922659345 187368701837 197230212460 295845318690 374737403674 562106105511 591690637380 749474807348 936843509185 1124212211022 1873687018370 2248424422044 2810530527555 3747374036740 5621061055110 11242122110220