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11033431120 = 2451761179743
BaseRepresentation
bin10100100011010010…
…01100110001010000
31001110221100101010001
422101221030301100
5140044024243440
65022500415344
7540263421445
oct122151146120
931427311101
1011033431120
1147520a2118
12217b0a7554
13106ab3128a
147694d39cc
15448994b9a
hex291a4cc50

11033431120 has 160 divisors (see below), whose sum is σ = 27798577920. Its totient is φ = 4057374720.

The previous prime is 11033431099. The next prime is 11033431133. The reversal of 11033431120 is 2113433011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14849469 + ... + 14850211.

It is an arithmetic number, because the mean of its divisors is an integer number (173741112).

Almost surely, 211033431120 is an apocalyptic number.

11033431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899288960).

11033431120 is an abundant number, since it is smaller than the sum of its proper divisors (16765146800).

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

11033431120 is a wasteful number, since it uses less digits than its factorization.

11033431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11033431120 its reverse (2113433011), we get a palindrome (13146864131).

The spelling of 11033431120 in words is "eleven billion, thirty-three million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 80 85 122 136 170 179 244 272 305 340 358 488 610 680 716 743 895 976 1037 1220 1360 1432 1486 1790 2074 2440 2864 2972 3043 3580 3715 4148 4880 5185 5944 6086 7160 7430 8296 10370 10919 11888 12172 12631 14320 14860 15215 16592 20740 21838 24344 25262 29720 30430 41480 43676 45323 48688 50524 54595 59440 60860 63155 82960 87352 90646 101048 109190 121720 126310 132997 174704 181292 185623 202096 218380 226615 243440 252620 265994 362584 371246 436760 453230 505240 531988 664985 725168 742492 770491 873520 906460 928115 1010480 1063976 1329970 1484984 1540982 1812920 1856230 2127952 2260949 2659940 2969968 3081964 3625840 3712460 3852455 4521898 5319880 6163928 7424920 7704910 8112817 9043796 10639760 11304745 12327856 14849840 15409820 16225634 18087592 22609490 30819640 32451268 36175184 40564085 45218980 61639280 64902536 81128170 90437960 129805072 137917889 162256340 180875920 275835778 324512680 551671556 649025360 689589445 1103343112 1379178890 2206686224 2758357780 5516715560 11033431120