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31331021300 = 22526134914717
BaseRepresentation
bin11101001011011110…
…010111000111110100
32222212111211210100022
4131023132113013310
51003131220140200
622220540304312
72156261200265
oct351336270764
988774753308
1031331021300
11123185aa037
1260a4842098
132c54071b77
14173312296c
15c358e5885
hex74b7971f4

31331021300 has 72 divisors (see below), whose sum is σ = 69305590200. Its totient is φ = 12290803200.

The previous prime is 31331021269. The next prime is 31331021303. The reversal of 31331021300 is 312013313.

It can be written as a sum of positive squares in 12 ways, for example, as 17063674384 + 14267346916 = 130628^2 + 119446^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331021303) 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, 2121542 + ... + 2136258.

Almost surely, 231331021300 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 31331021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34652795100).

31331021300 is an abundant number, since it is smaller than the sum of its proper divisors (37974568900).

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

31331021300 is a wasteful number, since it uses less digits than its factorization.

31331021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15141 (or 15134 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 31331021300 its reverse (312013313), we get a palindrome (31643034613).

The spelling of 31331021300 in words is "thirty-one billion, three hundred thirty-one million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 349 610 698 1220 1396 1525 1745 3050 3490 6100 6980 8725 14717 17450 21289 29434 34900 42578 58868 73585 85156 106445 147170 212890 294340 367925 425780 532225 735850 897737 1064450 1471700 1795474 2128900 3590948 4488685 5136233 8977370 10272466 17954740 20544932 22443425 25681165 44886850 51362330 89773700 102724660 128405825 256811650 313310213 513623300 626620426 1253240852 1566551065 3133102130 6266204260 7832755325 15665510650 31331021300