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31143325000 = 23558913997
BaseRepresentation
bin11101000000010010…
…010110110101001000
32222101102122211102111
4131000102112311020
51002240142400000
622150153312104
72151521615614
oct350022266510
988342584374
1031143325000
1112231660027
126051a05634
132c24204b78
141716224344
15c241bbcba
hex740496d48

31143325000 has 96 divisors (see below), whose sum is σ = 73812853800. Its totient is φ = 12316480000.

The previous prime is 31143324991. The next prime is 31143325001. The reversal of 31143325000 is 52334113.

It can be written as a sum of positive squares in 12 ways, for example, as 19712721604 + 11430603396 = 140402^2 + 106914^2 .

It is not an unprimeable number, because it can be changed into a prime (31143325001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2218002 + ... + 2231998.

Almost surely, 231143325000 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 31143325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36906426900).

31143325000 is an abundant number, since it is smaller than the sum of its proper divisors (42669528800).

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

31143325000 is an equidigital number, since it uses as much as digits as its factorization.

31143325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 31143325000 its reverse (52334113), we get a palindrome (31195659113).

The spelling of 31143325000 in words is "thirty-one billion, one hundred forty-three million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 625 712 890 1000 1250 1780 2225 2500 3125 3560 4450 5000 6250 8900 11125 12500 13997 17800 22250 25000 27994 44500 55625 55988 69985 89000 111250 111976 139970 222500 278125 279940 349925 445000 556250 559880 699850 1112500 1245733 1399700 1749625 2225000 2491466 2799400 3499250 4982932 6228665 6998500 8748125 9965864 12457330 13997000 17496250 24914660 31143325 34992500 43740625 49829320 62286650 69985000 87481250 124573300 155716625 174962500 249146600 311433250 349925000 622866500 778583125 1245733000 1557166250 3114332500 3892915625 6228665000 7785831250 15571662500 31143325000