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31331100020 = 22511239836299
BaseRepresentation
bin11101001011011110…
…101010010101110100
32222212111222210022212
4131023132222111310
51003131230200040
622220542112552
72156261645633
oct351336522564
988774883285
1031331100020
11123186531a0
1260a487b758
132c5409b94c
14173314351a
15c3590dd65
hex74b7aa574

31331100020 has 96 divisors (see below), whose sum is σ = 74985523200. Its totient is φ = 10884959360.

The previous prime is 31331100013. The next prime is 31331100041. The reversal of 31331100020 is 2000113313.

It is a junction number, because it is equal to n+sod(n) for n = 31331099968 and 31331100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4970831 + ... + 4977129.

It is an arithmetic number, because the mean of its divisors is an integer number (781099200).

Almost surely, 231331100020 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 31331100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37492761600).

31331100020 is an abundant number, since it is smaller than the sum of its proper divisors (43654423180).

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

31331100020 is a wasteful number, since it uses less digits than its factorization.

31331100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7323 counting only the distinct ones).

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

Adding to 31331100020 its reverse (2000113313), we get a palindrome (33331213333).

The spelling of 31331100020 in words is "thirty-one billion, three hundred thirty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 983 1012 1265 1966 2530 3932 4915 5060 6299 9830 10813 12598 19660 21626 22609 25196 31495 43252 45218 54065 62990 69289 90436 108130 113045 125980 138578 144877 216260 226090 248699 277156 289754 346445 452180 497398 579508 692890 724385 994796 1243495 1385780 1448770 1593647 2486990 2897540 3187294 4973980 6191917 6374588 7968235 12383834 15936470 24767668 30959585 31872940 61919170 68111087 123838340 136222174 142414091 272444348 284828182 340555435 569656364 681110870 712070455 1362221740 1424140910 1566555001 2848281820 3133110002 6266220004 7832775005 15665550010 31331100020