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113231142240 = 25351663141851
BaseRepresentation
bin110100101110100011…
…0100001110101100000
3101211021021101000020220
41221131012201311200
53323344133022430
6124003452203040
711115654554136
oct1513506416540
9354237330226
10113231142240
11440260340a7
1219b40a69480
13a8a6a505a8
1456a2397756
152e2aae8110
hex1a5d1a1d60

113231142240 has 96 divisors (see below), whose sum is σ = 356895092736. Its totient is φ = 30176601600.

The previous prime is 113231142187. The next prime is 113231142307. The reversal of 113231142240 is 42241132311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1132311422402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113231142240.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 727315 + ... + 869165.

It is an arithmetic number, because the mean of its divisors is an integer number (3717657216).

Almost surely, 2113231142240 is an apocalyptic number.

113231142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113231142240 is an abundant number, since it is smaller than the sum of its proper divisors (243663950496).

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

113231142240 is a wasteful number, since it uses less digits than its factorization.

113231142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143532 (or 143524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113231142240 its reverse (42241132311), we get a palindrome (155472274551).

The spelling of 113231142240 in words is "one hundred thirteen billion, two hundred thirty-one million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1663 3326 4989 6652 8315 9978 13304 16630 19956 24945 26608 33260 39912 49890 53216 66520 79824 99780 133040 141851 159648 199560 266080 283702 399120 425553 567404 709255 798240 851106 1134808 1418510 1702212 2127765 2269616 2837020 3404424 4255530 4539232 5674040 6808848 8511060 11348080 13617696 17022120 22696160 34044240 68088480 235898213 471796426 707694639 943592852 1179491065 1415389278 1887185704 2358982130 2830778556 3538473195 3774371408 4717964260 5661557112 7076946390 7548742816 9435928520 11323114224 14153892780 18871857040 22646228448 28307785560 37743714080 56615571120 113231142240