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31241110300000 = 2555417619783
BaseRepresentation
bin1110001101001111000110…
…10010000010010101100000
311002121121202200200111020021
413012213203102002111200
513043323243214100000
6150235545024123224
76403044560025256
oct706474322022540
9132547680614207
1031241110300000
119a5530a345a97
1236068a0766514
131458040b25453
147a01137025d6
153929bdbb911a
hex1c69e3482560

31241110300000 has 144 divisors (see below), whose sum is σ = 78752570700384. Its totient is φ = 12191651200000.

The previous prime is 31241110299937. The next prime is 31241110300031. The reversal of 31241110300000 is 301114213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290109 + ... + 7909891.

It is an arithmetic number, because the mean of its divisors is an integer number (546892852086).

Almost surely, 231241110300000 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 31241110300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39376285350192).

31241110300000 is an abundant number, since it is smaller than the sum of its proper divisors (47511460400384).

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

31241110300000 is an frugal number, since it uses more digits than its factorization.

31241110300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619859 (or 7619831 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31241110300000 its reverse (301114213), we get a palindrome (31241411414213).

The spelling of 31241110300000 in words is "thirty-one trillion, two hundred forty-one billion, one hundred ten million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3125 3280 4000 4100 5000 5125 6250 6560 8200 10000 10250 12500 16400 20000 20500 25000 25625 32800 41000 50000 51250 82000 100000 102500 128125 164000 205000 256250 410000 512500 820000 1025000 2050000 4100000 7619783 15239566 30479132 38098915 60958264 76197830 121916528 152395660 190494575 243833056 304791320 312411103 380989150 609582640 624822206 761978300 952472875 1219165280 1249644412 1523956600 1562055515 1904945750 2499288824 3047913200 3124111030 3809891500 4762364375 4998577648 6095826400 6248222060 7619783000 7810277575 9524728750 9997155296 12496444120 15239566000 15620555150 19049457500 23811821875 24992888240 30479132000 31241110300 38098915000 39051387875 47623643750 49985776480 62482220600 76197830000 78102775750 95247287500 124964441200 152395660000 156205551500 190494575000 195256939375 249928882400 312411103000 380989150000 390513878750 624822206000 761978300000 781027757500 976284696875 1249644412000 1562055515000 1952569393750 3124111030000 3905138787500 6248222060000 7810277575000 15620555150000 31241110300000