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31131320000 = 26541170753
BaseRepresentation
bin11100111111100100…
…100011111011000000
32222100121001220122212
4130333210203323000
51002224104220000
622145044121252
72151314565614
oct347744437300
988317056585
1031131320000
1112225900540
126049996228
132c21890811
1417147bb344
15c230e9c35
hex73f923ec0

31131320000 has 140 divisors (see below), whose sum is σ = 84214523976. Its totient is φ = 11320320000.

The previous prime is 31131319993. The next prime is 31131320021. The reversal of 31131320000 is 2313113.

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 19 ways as a sum of consecutive naturals, for example, 404624 + ... + 475376.

Almost surely, 231131320000 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 31131320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42107261988).

31131320000 is an abundant number, since it is smaller than the sum of its proper divisors (53083203976).

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

31131320000 is an equidigital number, since it uses as much as digits as its factorization.

31131320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70796 (or 70771 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31131320000 its reverse (2313113), we get a palindrome (31133633113).

The spelling of 31131320000 in words is "thirty-one billion, one hundred thirty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 70753 88000 110000 141506 220000 283012 353765 440000 566024 707530 778283 1132048 1415060 1556566 1768825 2264096 2830120 3113132 3537650 3891415 4528192 5660240 6226264 7075300 7782830 8844125 11320480 12452528 14150600 15565660 17688250 19457075 22640960 24905056 28301200 31131320 35376500 38914150 44220625 49810112 56602400 62262640 70753000 77828300 88441250 97285375 113204800 124525280 141506000 155656600 176882500 194570750 249050560 283012000 311313200 353765000 389141500 486426875 566024000 622626400 707530000 778283000 972853750 1245252800 1415060000 1556566000 1945707500 2830120000 3113132000 3891415000 6226264000 7782830000 15565660000 31131320000