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112132232331324 = 223236172484726501
BaseRepresentation
bin11001011111101111010001…
…111000000100000000111100
3112201000201220001212001120220
4121133233101320010000330
5104144133302434100244
61034252500354341340
732422200151346562
oct3137572170040074
9481021801761526
10112132232331324
1132802015962727
12106abb8988a850
134a7504104bb5a
141d9932c551a32
15ce6c3b50a319
hex65fbd1e0403c

112132232331324 has 96 divisors (see below), whose sum is σ = 273481426262016. Its totient is φ = 35691577152000.

The previous prime is 112132232331313. The next prime is 112132232331331. The reversal of 112132232331324 is 423133232231211.

It is a super-2 number, since 2×1121322323313242 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4231232074 + ... + 4231258574.

It is an arithmetic number, because the mean of its divisors is an integer number (2848764856896).

Almost surely, 2112132232331324 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 112132232331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136740713131008).

112132232331324 is an abundant number, since it is smaller than the sum of its proper divisors (161349193930692).

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

112132232331324 is a wasteful number, since it uses less digits than its factorization.

112132232331324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51995 (or 51993 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 112132232331324 its reverse (423133232231211), we get a palindrome (535265464562535).

The spelling of 112132232331324 in words is "one hundred twelve trillion, one hundred thirty-two billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 617 1234 1851 2468 3702 7404 14191 24847 26501 28382 42573 49694 53002 56764 74541 79503 85146 99388 106004 149082 159006 170292 298164 318012 571481 609523 1142962 1219046 1714443 1828569 2285924 2438092 3428886 3657138 6857772 7314276 15330599 16351117 30661198 32702234 45991797 49053351 61322396 65404468 91983594 98106702 183967188 196213404 352603777 376075691 658470347 705207554 752151382 1057811331 1128227073 1316940694 1410415108 1504302764 1975411041 2115622662 2256454146 2633881388 3950822082 4231245324 4512908292 7901644164 15144817981 30289635962 45434453943 60579271924 90868907886 181737815772 406276204099 812552408198 1218828612297 1625104816396 2437657224594 4875314449188 9344352694277 18688705388554 28033058082831 37377410777108 56066116165662 112132232331324