Search a number
-
+
11201221211112 = 2333596713118519
BaseRepresentation
bin1010001011111111110011…
…0011111011001111101000
31110122211022100212022112000
42202333330303323033220
52432010100112223422
635453434152251000
72234155463230512
oct242777463731750
943584270768460
1011201221211112
1136294583a4099
12130aa563a0a60
1363336975314a
142aa1db908bb2
15146581e58cac
hexa2ffccfb3e8

11201221211112 has 128 divisors (see below), whose sum is σ = 32114136960000. Its totient is φ = 3615673457088.

The previous prime is 11201221211099. The next prime is 11201221211123. The reversal of 11201221211112 is 21111212210211.

It is a happy number.

11201221211112 is a `hidden beast` number, since 1 + 120 + 1 + 221 + 211 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5705412 + ... + 7413107.

It is an arithmetic number, because the mean of its divisors is an integer number (250891695000).

Almost surely, 211201221211112 is an apocalyptic number.

11201221211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11201221211112 is an abundant number, since it is smaller than the sum of its proper divisors (20912915748888).

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

11201221211112 is a wasteful number, since it uses less digits than its factorization.

11201221211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13118660 (or 13118650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11201221211112 its reverse (21111212210211), we get a palindrome (32312433421323).

Subtracting 11201221211112 from its reverse (21111212210211), we obtain a palindrome (9909990999099).

The spelling of 11201221211112 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 67 72 108 118 134 177 201 216 236 268 354 402 472 531 536 603 708 804 1062 1206 1416 1593 1608 1809 2124 2412 3186 3618 3953 4248 4824 6372 7236 7906 11859 12744 14472 15812 23718 31624 35577 47436 71154 94872 106731 142308 213462 284616 426924 853848 13118519 26237038 39355557 52474076 78711114 104948152 118066671 157422228 236133342 314844456 354200013 472266684 708400026 773992621 878940773 944533368 1416800052 1547985242 1757881546 2321977863 2636822319 2833600104 3095970484 3515763092 4643955726 5273644638 6191940968 6965933589 7031526184 7910466957 9287911452 10547289276 13931867178 15820933914 18575822904 20897800767 21094578552 23731400871 27863734356 31641867828 41795601534 47462801742 51857505607 55727468712 63283735656 83591203068 94925603484 103715011214 155572516821 167182406136 189851206968 207430022428 311145033642 414860044856 466717550463 622290067284 933435100926 1244580134568 1400152651389 1866870201852 2800305302778 3733740403704 5600610605556 11201221211112