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11223132131120 = 245731331462021
BaseRepresentation
bin1010001101010001011011…
…0011011100111100110000
31110201220212101010101012212
42203110112303130330300
52432334433311143440
635511500303311252
72235562451045000
oct243242663347460
943656771111185
1011223132131120
113637781557648
1213131502ab528
1363544bcb5b80
142ab2b98dc000
15146e1583d465
hexa3516cdcf30

11223132131120 has 160 divisors (see below), whose sum is σ = 32770842115200. Its totient is φ = 3551936209920.

The previous prime is 11223132131117. The next prime is 11223132131177. The reversal of 11223132131120 is 2113123132211.

It is a happy number.

11223132131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15374291 + ... + 16087730.

It is an arithmetic number, because the mean of its divisors is an integer number (204817763220).

Almost surely, 211223132131120 is an apocalyptic number.

11223132131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223132131120 is an abundant number, since it is smaller than the sum of its proper divisors (21547709984080).

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

11223132131120 is a wasteful number, since it uses less digits than its factorization.

11223132131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31462068 (or 31462048 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11223132131120 its reverse (2113123132211), we get a palindrome (13336255263331).

The spelling of 11223132131120 in words is "eleven trillion, two hundred twenty-three billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 343 364 392 455 490 520 560 637 686 728 784 910 980 1040 1274 1372 1456 1715 1820 1960 2548 2744 3185 3430 3640 3920 4459 5096 5488 6370 6860 7280 8918 10192 12740 13720 17836 22295 25480 27440 35672 44590 50960 71344 89180 178360 356720 31462021 62924042 125848084 157310105 220234147 251696168 314620210 409006273 440468294 503392336 629240420 818012546 880936588 1101170735 1258480840 1541639029 1636025092 1761873176 2045031365 2202341470 2516961680 2863043911 3083278058 3272050184 3523746352 4090062730 4404682940 5726087822 6166556116 6544100368 7708195145 8180125460 8809365880 10791473203 11452175644 12333112232 14315219555 15416390290 16360250920 17618731760 20041307377 21582946406 22904351288 24666224464 28630439110 30832780580 32720501840 40082614754 43165892812 45808702576 53957366015 57260878220 61665561160 80165229508 86331785624 100206536885 107914732030 114521756440 123331122320 140289151639 160330459016 172663571248 200413073770 215829464060 229043512880 280578303278 320660918032 400826147540 431658928120 561156606556 701445758195 801652295080 863317856240 1122313213112 1402891516390 1603304590160 2244626426224 2805783032780 5611566065560 11223132131120