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131223112300 = 225272173154799
BaseRepresentation
bin111101000110110000…
…0011100101001101100
3110112201011102210021101
41322031200130221230
54122221104043200
6140141050412444
712323555023300
oct1721540345154
9415634383241
10131223112300
1150719031545
1221522431124
13c4b33cbc17
1464cbad3d00
15363041726a
hex1e8d81ca6c

131223112300 has 108 divisors (see below), whose sum is σ = 333161488800. Its totient is φ = 44730430080.

The previous prime is 131223112291. The next prime is 131223112301. The reversal of 131223112300 is 3211322131.

It is a super-2 number, since 2×1312231123002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131223112301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770301 + ... + 925099.

It is an arithmetic number, because the mean of its divisors is an integer number (3084828600).

Almost surely, 2131223112300 is an apocalyptic number.

131223112300 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 131223112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166580744400).

131223112300 is an abundant number, since it is smaller than the sum of its proper divisors (201938376500).

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

131223112300 is a wasteful number, since it uses less digits than its factorization.

131223112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155000 (or 154986 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131223112300 its reverse (3211322131), we get a palindrome (134434434431).

The spelling of 131223112300 in words is "one hundred thirty-one billion, two hundred twenty-three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 173 175 196 245 346 350 490 692 700 865 980 1211 1225 1730 2422 2450 3460 4325 4844 4900 6055 8477 8650 12110 16954 17300 24220 30275 33908 42385 60550 84770 121100 154799 169540 211925 309598 423850 619196 773995 847700 1083593 1547990 2167186 3095980 3869975 4334372 5417965 7585151 7739950 10835930 15170302 15479900 21671860 26780227 27089825 30340604 37925755 53560454 54179650 75851510 107120908 108359300 133901135 151703020 187461589 189628775 267802270 374923178 379257550 535604540 669505675 749846356 758515100 937307945 1312231123 1339011350 1874615890 2624462246 2678022700 3749231780 4686539725 5248924492 6561155615 9373079450 13122311230 18746158900 26244622460 32805778075 65611556150 131223112300