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31341224000 = 265316723459
BaseRepresentation
bin11101001100000101…
…010010000001000000
32222220020001010211002
4131030011102001000
51003141323132000
622221543111132
72156444002622
oct351405220100
988806033732
1031341224000
1112323338519
1260a81424a8
132c56204a78
14173461ac12
15c3675d8d5
hex74c152040

31341224000 has 112 divisors (see below), whose sum is σ = 78084639360. Its totient is φ = 12460889600.

The previous prime is 31341223981. The next prime is 31341224017. The reversal of 31341224000 is 42214313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324271 + ... + 1347729.

It is an arithmetic number, because the mean of its divisors is an integer number (697184280).

Almost surely, 231341224000 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 31341224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39042319680).

31341224000 is an abundant number, since it is smaller than the sum of its proper divisors (46743415360).

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

31341224000 is a wasteful number, since it uses less digits than its factorization.

31341224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23653 (or 23633 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31341224000 its reverse (42214313), we get a palindrome (31383438313).

The spelling of 31341224000 in words is "thirty-one billion, three hundred forty-one million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 167 200 250 320 334 400 500 668 800 835 1000 1336 1600 1670 2000 2672 3340 4000 4175 5344 6680 8000 8350 10688 13360 16700 20875 23459 26720 33400 41750 46918 53440 66800 83500 93836 117295 133600 167000 187672 234590 267200 334000 375344 469180 586475 668000 750688 938360 1172950 1336000 1501376 1876720 2345900 2932375 3753440 3917653 4691800 5864750 7506880 7835306 9383600 11729500 15670612 18767200 19588265 23459000 31341224 37534400 39176530 46918000 62682448 78353060 93836000 97941325 125364896 156706120 187672000 195882650 250729792 313412240 391765300 489706625 626824480 783530600 979413250 1253648960 1567061200 1958826500 3134122400 3917653000 6268244800 7835306000 15670612000 31341224000