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20030628300 = 22352312518581
BaseRepresentation
bin10010101001111010…
…110010000111001100
31220200222011100101020
4102221322302013030
5312010320101200
613111341514140
71306243350144
oct225172620714
956628140336
1020030628300
118549849571
123a70272950
131b72b3c8a7
14d803b9924
157c37baea0
hex4a9eb21cc

20030628300 has 144 divisors (see below), whose sum is σ = 60070155264. Its totient is φ = 5148000000.

The previous prime is 20030628287. The next prime is 20030628311. The reversal of 20030628300 is 382603002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330010 + ... + 2338590.

It is an arithmetic number, because the mean of its divisors is an integer number (417153856).

Almost surely, 220030628300 is an apocalyptic number.

20030628300 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 20030628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30035077632).

20030628300 is an abundant number, since it is smaller than the sum of its proper divisors (40039526964).

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

20030628300 is a wasteful number, since it uses less digits than its factorization.

20030628300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 20030628300 in words is "twenty billion, thirty million, six hundred twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 251 300 310 372 465 502 620 753 775 930 1004 1255 1506 1550 1860 2325 2510 3012 3100 3765 4650 5020 6275 7530 7781 8581 9300 12550 15060 15562 17162 18825 23343 25100 25743 31124 34324 37650 38905 42905 46686 51486 75300 77810 85810 93372 102972 116715 128715 155620 171620 194525 214525 233430 257430 266011 389050 429050 466860 514860 532022 583575 643575 778100 798033 858100 1064044 1167150 1287150 1330055 1596066 2153831 2334300 2574300 2660110 3192132 3990165 4307662 5320220 6461493 6650275 7980330 8615324 10769155 12922986 13300550 15960660 19950825 21538310 25845972 26601100 32307465 39901650 43076620 53845775 64614930 66768761 79803300 107691550 129229860 133537522 161537325 200306283 215383100 267075044 323074650 333843805 400612566 646149300 667687610 801225132 1001531415 1335375220 1669219025 2003062830 3338438050 4006125660 5007657075 6676876100 10015314150 20030628300