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112424141124 = 2232171571170061
BaseRepresentation
bin110100010110100000…
…0000100000101000100
3101202012000212002211200
41220231000010011010
53320221040003444
6123351423302500
711056655301201
oct1505500040504
9352160762750
10112424141124
1143751551229
121995674aa30
13a7a87b8b39
145627128ca8
152dced3b969
hex1a2d004144

112424141124 has 72 divisors (see below), whose sum is σ = 302816725848. Its totient is φ = 35045637120.

The previous prime is 112424141119. The next prime is 112424141129. The reversal of 112424141124 is 421141424211.

112424141124 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 241 + 411 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (112424141119) and next prime (112424141129).

It can be written as a sum of positive squares in 4 ways, for example, as 2841956100 + 109582185024 = 53310^2 + 331032^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112424141129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488947 + ... + 681114.

It is an arithmetic number, because the mean of its divisors is an integer number (4205787859).

Almost surely, 2112424141124 is an apocalyptic number.

It is an amenable number.

112424141124 is an abundant number, since it is smaller than the sum of its proper divisors (190392584724).

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

112424141124 is a wasteful number, since it uses less digits than its factorization.

112424141124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170245 (or 1170240 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 112424141124 its reverse (421141424211), we get a palindrome (533565565335).

The spelling of 112424141124 in words is "one hundred twelve billion, four hundred twenty-four million, one hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 157 204 306 314 471 612 628 942 1413 1884 2669 2826 5338 5652 8007 10676 16014 24021 32028 48042 96084 1170061 2340122 3510183 4680244 7020366 10530549 14040732 19891037 21061098 39782074 42122196 59673111 79564148 119346222 179019333 183699577 238692444 358038666 367399154 551098731 716077332 734798308 1102197462 1653296193 2204394924 3122892809 3306592386 6245785618 6613184772 9368678427 12491571236 18737356854 28106035281 37474713708 56212070562 112424141124