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11230032440 = 235112310110987
BaseRepresentation
bin10100111010101110…
…01011001000111000
31001222122021202102102
422131113023020320
5140444342014230
65054202322532
7545201462234
oct123527131070
931878252372
1011230032440
114843073650
122214ab9448
13109c798613
1478766d5c4
1545ad7c045
hex29d5cb238

11230032440 has 128 divisors (see below), whose sum is σ = 29050513920. Its totient is φ = 3867072000.

The previous prime is 11230032421. The next prime is 11230032449. The reversal of 11230032440 is 4423003211.

11230032440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112300324402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230032449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016627 + ... + 1027613.

It is an arithmetic number, because the mean of its divisors is an integer number (226957140).

Almost surely, 211230032440 is an apocalyptic number.

11230032440 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 11230032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14525256960).

11230032440 is an abundant number, since it is smaller than the sum of its proper divisors (17820481480).

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

11230032440 is a wasteful number, since it uses less digits than its factorization.

11230032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11230032440 its reverse (4423003211), we get a palindrome (15653035651).

The spelling of 11230032440 in words is "eleven billion, two hundred thirty million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 101 110 115 184 202 220 230 253 404 440 460 505 506 808 920 1010 1012 1111 1265 2020 2024 2222 2323 2530 4040 4444 4646 5060 5555 8888 9292 10120 10987 11110 11615 18584 21974 22220 23230 25553 43948 44440 46460 51106 54935 87896 92920 102212 109870 120857 127765 204424 219740 241714 252701 255530 439480 483428 505402 511060 604285 966856 1010804 1022120 1109687 1208570 1263505 2021608 2219374 2417140 2527010 2779711 4438748 4834280 5054020 5548435 5559422 8877496 10108040 11096870 11118844 12206557 13898555 22193740 22237688 24413114 25522801 27797110 44387480 48826228 51045602 55594220 61032785 97652456 102091204 111188440 122065570 127614005 204182408 244131140 255228010 280750811 488262280 510456020 561501622 1020912040 1123003244 1403754055 2246006488 2807508110 5615016220 11230032440