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11114433203130 = 2345593125918379
BaseRepresentation
bin1010000110111100011111…
…0101111100101110111010
31110100112021221220201010000
42201233013311330232322
52424044324400000010
635345522232133430
72224664005311255
oct241570765745672
943315257821100
1011114433203130
1135a5671877164
1212b6075237276
1362811820ab7a
142a5d2743809c
151441a2a987c0
hexa1bc7d7cbba

11114433203130 has 160 divisors (see below), whose sum is σ = 29961280641600. Its totient is φ = 2956339772928.

The previous prime is 11114433203113. The next prime is 11114433203177. The reversal of 11114433203130 is 3130233441111.

11114433203130 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 443 + 3 + 203 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11114433203094 and 11114433203103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 604726281 + ... + 604744659.

It is an arithmetic number, because the mean of its divisors is an integer number (187258004010).

Almost surely, 211114433203130 is an apocalyptic number.

11114433203130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114433203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980640320800).

11114433203130 is an abundant number, since it is smaller than the sum of its proper divisors (18846847438470).

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

11114433203130 is a wasteful number, since it uses less digits than its factorization.

11114433203130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20250 (or 20241 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11114433203130 its reverse (3130233441111), we get a palindrome (14244666644241).

The spelling of 11114433203130 in words is "eleven trillion, one hundred fourteen billion, four hundred thirty-three million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 593 810 1186 1259 1779 2518 2965 3558 3777 5337 5930 6295 7554 8895 10674 11331 12590 16011 17790 18379 18885 22662 26685 32022 33993 36758 37770 48033 53370 55137 56655 67986 80055 91895 96066 101979 110274 113310 160110 165411 169965 183790 203958 240165 275685 330822 339930 480330 496233 509895 551370 746587 827055 992466 1019790 1488699 1493174 1654110 2239761 2481165 2977398 3732935 4479522 4962330 6719283 7443495 7465870 10898747 11198805 13438566 14886990 20157849 21797494 22397610 23139161 32696241 33596415 40315698 46278322 54493735 60473547 65392482 67192830 69417483 98088723 100789245 108987470 115695805 120947094 138834966 163481205 196177446 201578490 208252449 231391610 294266169 302367735 326962410 347087415 416504898 490443615 588532338 604735470 624757347 694174830 882798507 980887230 1041262245 1249514694 1471330845 1765597014 1874272041 2082524490 2942661690 3123786735 3748544082 4413992535 6247573470 8827985070 9371360205 13721522473 18742720410 27443044946 41164567419 68607612365 82329134838 123493702257 137215224730 205822837095 246987404514 370481106771 411645674190 617468511285 740962213542 1111443320313 1234937022570 1852405533855 2222886640626 3704811067710 5557216601565 11114433203130