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112311331232 = 25174323920089
BaseRepresentation
bin110100010011001000…
…1101110100110100000
3101201220011120202202112
41220212101232212200
53320003200044412
6123332313334452
711054115364322
oct1504621564640
9351804522675
10112311331232
11436a3900511
1219924a07428
13a78b30b819
145616161612
152dc4ea6722
hex1a2646e9a0

112311331232 has 96 divisors (see below), whose sum is σ = 240578553600. Its totient is φ = 51404709888.

The previous prime is 112311331207. The next prime is 112311331261. The reversal of 112311331232 is 232133113211.

It is a super-2 number, since 2×1123113312322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112311331198 and 112311331207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5580644 + ... + 5600732.

It is an arithmetic number, because the mean of its divisors is an integer number (2506026600).

Almost surely, 2112311331232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112311331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120289276800).

112311331232 is an abundant number, since it is smaller than the sum of its proper divisors (128267222368).

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

112311331232 is a wasteful number, since it uses less digits than its factorization.

112311331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20398 (or 20390 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

Adding to 112311331232 its reverse (232133113211), we get a palindrome (344444444443).

The spelling of 112311331232 in words is "one hundred twelve billion, three hundred eleven million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 239 272 344 478 544 688 731 956 1376 1462 1912 2924 3824 4063 5848 7648 8126 10277 11696 16252 20089 20554 23392 32504 40178 41108 65008 80356 82216 130016 160712 164432 174709 321424 328864 341513 349418 642848 683026 698836 863827 1366052 1397672 1727654 2732104 2795344 3455308 4801271 5464208 5590688 6910616 9602542 10928416 13821232 14685059 19205084 27642464 29370118 38410168 58740236 76820336 81621607 117480472 153640672 163243214 206454653 234960944 326486428 412909306 469921888 652972856 825818612 1305945712 1651637224 2611891424 3303274448 3509729101 6606548896 7019458202 14038916404 28077832808 56155665616 112311331232