Search a number
-
+
11222010404332 = 22713215777319541
BaseRepresentation
bin1010001101001101001111…
…1100011001110111101100
31110201210222012101202100021
42203103103330121313230
52432330134130414312
635511153113011524
72235522610401340
oct243232374316754
943653865352307
1011222010404332
113637256352712
121312a986b3ba4
13635300798b00
142ab210945620
15146d9c114c07
hexa34d3f19dec

11222010404332 has 144 divisors (see below), whose sum is σ = 24490980545472. Its totient is φ = 4405267676160.

The previous prime is 11222010404249. The next prime is 11222010404333. The reversal of 11222010404332 is 23340401022211.

It is a junction number, because it is equal to n+sod(n) for n = 11222010404297 and 11222010404306.

It is not an unprimeable number, because it can be changed into a prime (11222010404333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574270482 + ... + 574290022.

It is an arithmetic number, because the mean of its divisors is an integer number (170076253788).

Almost surely, 211222010404332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222010404332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245490272736).

11222010404332 is an abundant number, since it is smaller than the sum of its proper divisors (13268970141140).

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

11222010404332 is a wasteful number, since it uses less digits than its factorization.

11222010404332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20508 (or 20493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11222010404332 its reverse (23340401022211), we get a palindrome (34562411426543).

The spelling of 11222010404332 in words is "eleven trillion, two hundred twenty-two billion, ten million, four hundred four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 157 169 182 314 338 364 628 676 773 1099 1183 1546 2041 2198 2366 3092 4082 4396 4732 5411 8164 10049 10822 14287 19541 20098 21644 26533 28574 39082 40196 53066 57148 70343 78164 106132 121361 130637 136787 140686 185731 242722 254033 261274 273574 281372 371462 485444 508066 522548 547148 742924 849527 914459 1016132 1577693 1699054 1778231 1828918 3067937 3155386 3302429 3398108 3556462 3657836 6135874 6310772 6604858 7112924 11043851 12271748 13209716 15105193 20510009 21475559 22087702 23117003 30210386 39883181 41020018 42951118 44175404 46234006 60420772 79766362 82040036 85902236 92468012 105736351 143570063 159532724 196367509 211472702 279182267 287140126 392735018 422945404 518481353 558364534 574280252 785470036 1036962706 1116729068 1374572563 2073925412 2371515301 2552777617 2749145126 3629369471 4743030602 5105555234 5498290252 7258738942 9486061204 10211110468 14517477884 16600607107 17869443319 30829698913 33201214214 35738886638 61659397826 66402428428 71477773276 123318795652 215807892391 400786085869 431615784782 801572171738 863231569564 1603144343476 2805502601083 5611005202166 11222010404332