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112312143424 = 2613217610817
BaseRepresentation
bin110100010011001010…
…0110100111001000000
3101201220020010000212201
41220212110310321000
53320003402042144
6123332343002544
711054125316245
oct1504624647100
9351806100781
10112312143424
11436a4305748
1219925139454
13a78b534400
1456162d35cc
152dc50b71d4
hex1a26534e40

112312143424 has 84 divisors (see below), whose sum is σ = 255528380484. Its totient is φ = 48787095552.

The previous prime is 112312143413. The next prime is 112312143443. The reversal of 112312143424 is 424341213211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27066830400 + 85245313024 = 164520^2 + 291968^2 .

It is a super-2 number, since 2×1123121434242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112312143392 and 112312143401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121537 + ... + 489280.

Almost surely, 2112312143424 is an apocalyptic number.

It is an amenable number.

112312143424 is an abundant number, since it is smaller than the sum of its proper divisors (143216237060).

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

112312143424 is a wasteful number, since it uses less digits than its factorization.

112312143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610872 (or 610849 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 112312143424 its reverse (424341213211), we get a palindrome (536653356635).

The spelling of 112312143424 in words is "one hundred twelve billion, three hundred twelve million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 169 208 221 272 338 416 442 544 676 832 884 1088 1352 1768 2704 2873 3536 5408 5746 7072 10816 11492 14144 22984 45968 91936 183872 610817 1221634 2443268 4886536 7940621 9773072 10383889 15881242 19546144 20767778 31762484 39092288 41535556 63524968 83071112 103228073 127049936 134990557 166142224 206456146 254099872 269981114 332284448 412912292 508199744 539962228 664568896 825824584 1079924456 1651649168 1754877241 2159848912 3303298336 3509754482 4319697824 6606596672 7019508964 8639395648 14039017928 28078035856 56156071712 112312143424