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20023331300 = 22527297571303
BaseRepresentation
bin10010101001011110…
…111100100111100100
31220200110102121202222
4102221132330213210
5312001433100200
613110521251512
71306124336120
oct225136744744
956613377688
1020023331300
118545715195
123a69933b98
131b7148643b
14d7d43a580
157c2d28d85
hex4a97bc9e4

20023331300 has 144 divisors (see below), whose sum is σ = 51477538560. Its totient is φ = 6614576640.

The previous prime is 20023331299. The next prime is 20023331401. The reversal of 20023331300 is 313332002.

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 47 ways as a sum of consecutive naturals, for example, 15366449 + ... + 15367751.

Almost surely, 220023331300 is an apocalyptic number.

20023331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20023331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738769280).

20023331300 is an abundant number, since it is smaller than the sum of its proper divisors (31454207260).

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

20023331300 is a wasteful number, since it uses less digits than its factorization.

20023331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 20023331300 its reverse (313332002), we get a palindrome (20336663302).

The spelling of 20023331300 in words is "twenty billion, twenty-three million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 757 812 1015 1303 1450 1514 2030 2606 2900 3028 3785 4060 5075 5212 5299 6515 7570 9121 10150 10598 13030 15140 18242 18925 20300 21196 21953 26060 26495 32575 36484 37787 37850 43906 45605 52990 65150 75574 75700 87812 91210 105980 109765 130300 132475 151148 153671 182420 188935 219530 228025 264509 264950 307342 377870 439060 456050 529018 529900 548825 614684 755740 768355 912100 944675 986371 1058036 1097650 1322545 1536710 1889350 1972742 2195300 2645090 3073420 3778700 3841775 3945484 4931855 5290180 6612725 6904597 7683550 9863710 13225450 13809194 15367100 19727420 24659275 26450900 27618388 28604759 34522985 49318550 57209518 69045970 98637100 114419036 138091940 143023795 172614925 200233313 286047590 345229850 400466626 572095180 690459700 715118975 800933252 1001166565 1430237950 2002333130 2860475900 4004666260 5005832825 10011665650 20023331300