Search a number
-
+
11212013013102 = 23411191129293311
BaseRepresentation
bin1010001100101000000000…
…0011011000100001101110
31110200212011110112122210000
42203022000003120201232
52432144200312404402
635502421102125130
72235020064103206
oct243120003304156
943625143478700
1011212013013102
113632a9605a710
121310b685807a6
136343994b2bb5
142aa942ca1406
151469b45bec1c
hexa32800d886e

11212013013102 has 160 divisors (see below), whose sum is σ = 28875275827200. Its totient is φ = 3215897769600.

The previous prime is 11212013013101. The next prime is 11212013013109. The reversal of 11212013013102 is 20131031021211.

11212013013102 is a `hidden beast` number, since 1 + 121 + 201 + 30 + 1 + 310 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212013013101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38079027 + ... + 38372337.

It is an arithmetic number, because the mean of its divisors is an integer number (180470473920).

Almost surely, 211212013013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212013013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437637913600).

11212013013102 is an abundant number, since it is smaller than the sum of its proper divisors (17663262814098).

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

11212013013102 is a wasteful number, since it uses less digits than its factorization.

11212013013102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294484 (or 294475 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11212013013102 its reverse (20131031021211), we get a palindrome (31343044034313).

The spelling of 11212013013102 in words is "eleven trillion, two hundred twelve billion, thirteen million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1129 1254 1539 1782 1881 2258 3078 3387 3762 5643 6774 10161 11286 12419 16929 20322 21451 24838 30483 33858 37257 42902 60966 64353 74514 91449 111771 128706 182898 193059 223542 235961 293311 335313 386118 471922 579177 586622 670626 707883 879933 1005939 1158354 1415766 1737531 1759866 2011878 2123649 2639799 3226421 3475062 4247298 5279598 5572909 6370947 6452842 7919397 9679263 11145818 12741894 15838794 16718727 19112841 19358526 23758191 29037789 33437454 38225682 47516382 50156181 58075578 61301999 87113367 100312362 122603998 150468543 174226734 183905997 261340101 300937086 331148119 367811994 451405629 522680202 551717991 662296238 902811258 993444357 1103435982 1655153973 1986888714 2980333071 3310307946 3642629309 4965461919 5960666142 6291814261 7285258618 8940999213 9930923838 10927887927 12583628522 17881998426 18875442783 21855775854 26822997639 32783663781 37750885566 53645995278 56626328349 65567327562 69209956871 98350991343 113252656698 138419913742 169878985047 196701982686 207629870613 295052974029 339757970094 415259741226 509636955141 590105948058 622889611839 1019273910282 1245779223678 1868668835517 3737337671034 5606006506551 11212013013102