Search a number
-
+
112515321500 = 22532331210181
BaseRepresentation
bin110100011001001101…
…1111000111010011100
3101202102101102112210122
41220302123320322130
53320412410242000
6123404441454112
711062143311201
oct1506233707234
9352371375718
10112515321500
1143798a6940a
12199811a1338
13a7c166211a
1456352a1ca8
152dd7d4d085
hex1a326f8e9c

112515321500 has 144 divisors (see below), whose sum is σ = 264981907008. Its totient is φ = 41656560000.

The previous prime is 112515321493. The next prime is 112515321533. The reversal of 112515321500 is 5123515211.

It is a self number, because there is not a number n which added to its sum of digits gives 112515321500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11046410 + ... + 11056590.

It is an arithmetic number, because the mean of its divisors is an integer number (1840152132).

Almost surely, 2112515321500 is an apocalyptic number.

112515321500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112515321500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132490953504).

112515321500 is an abundant number, since it is smaller than the sum of its proper divisors (152466585508).

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

112515321500 is a wasteful number, since it uses less digits than its factorization.

112515321500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 112515321500 its reverse (5123515211), we get a palindrome (117638836711).

The spelling of 112515321500 in words is "one hundred twelve billion, five hundred fifteen million, three hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 125 155 230 250 310 460 500 575 620 713 775 961 1150 1426 1550 1922 2300 2852 2875 3100 3565 3844 3875 4805 5750 7130 7750 9610 10181 11500 14260 15500 17825 19220 20362 22103 24025 35650 40724 44206 48050 50905 71300 88412 89125 96100 101810 110515 120125 178250 203620 221030 234163 240250 254525 315611 356500 442060 468326 480500 509050 552575 631222 936652 1018100 1105150 1170815 1262444 1272625 1578055 2210300 2341630 2545250 2762875 3156110 4683260 5090500 5525750 5854075 6312220 7259053 7890275 9783941 11051500 11708150 14518106 15780550 19567882 23416300 29036212 29270375 31561100 36295265 39135764 39451375 48919705 58540750 72590530 78902750 97839410 117081500 145181060 157805500 181476325 195678820 225030643 244598525 362952650 450061286 489197050 725905300 900122572 907381625 978394100 1125153215 1222992625 1814763250 2250306430 2445985250 3629526500 4500612860 4891970500 5625766075 11251532150 22503064300 28128830375 56257660750 112515321500