Search a number
-
+
230331023002020 = 223547831510153149
BaseRepresentation
bin110100010111110000011110…
…110011101000100110100100
31010012112102122000111122010110
4310113300132303220212210
5220142220413342031040
62133512340004253020
766341603320060413
oct6427603663504644
91105472560448113
10230331023002020
1167432924849246
12219bb8416a1170
139b6a178823955
1440c411c37547a
151b96689d77980
hexd17c1ece89a4

230331023002020 has 96 divisors (see below), whose sum is σ = 645116555865600. Its totient is φ = 61403542617600.

The previous prime is 230331023002013. The next prime is 230331023002027. The reversal of 230331023002020 is 20200320133032.

230331023002020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230331023002013) and next prime (230331023002027).

It is not an unprimeable number, because it can be changed into a prime (230331023002027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333658406 + ... + 4333711554.

It is an arithmetic number, because the mean of its divisors is an integer number (6719964123600).

Almost surely, 2230331023002020 is an apocalyptic number.

230331023002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230331023002020 is an abundant number, since it is smaller than the sum of its proper divisors (414785532863580).

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

230331023002020 is a wasteful number, since it uses less digits than its factorization.

230331023002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73045 (or 73043 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230331023002020 its reverse (20200320133032), we get a palindrome (250531343135052).

The spelling of 230331023002020 in words is "two hundred thirty trillion, three hundred thirty-one billion, twenty-three million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4783 9566 14349 15101 19132 23915 28698 30202 45303 47830 53149 57396 60404 71745 75505 90606 95660 106298 143490 151010 159447 181212 212596 226515 265745 286980 302020 318894 453030 531490 637788 797235 906060 1062980 1594470 3188940 72228083 144456166 216684249 254211667 288912332 361140415 433368498 508423334 722280830 762635001 802603049 866736996 1016846668 1083421245 1271058335 1444561660 1525270002 1605206098 2166842490 2407809147 2542116670 3050540004 3210412196 3813175005 4013015245 4333684980 4815618294 5084233340 7626350010 8026030490 9631236588 12039045735 15252700020 16052060980 24078091470 48156182940 3838850383367 7677700766734 11516551150101 15355401533468 19194251916835 23033102300202 38388503833670 46066204600404 57582755750505 76777007667340 115165511501010 230331023002020