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20331300031020 = 22335113422777783
BaseRepresentation
bin1001001111101101111111…
…11010101000101000101100
32122222122122020220212002000
410213312333322220220230
510131102000301443040
6111124023103332300
74165613365563066
oct447667772505054
978878566825060
1020331300031020
116529501916970
1223444132b1090
13b46305923854
1450407c336736
15253ce5368130
hex127dbfea8a2c

20331300031020 has 96 divisors (see below), whose sum is σ = 69003200125440. Its totient is φ = 4928800006080.

The previous prime is 20331300031019. The next prime is 20331300031027. The reversal of 20331300031020 is 2013000313302.

20331300031020 is a `hidden beast` number, since 2 + 0 + 3 + 31 + 300 + 0 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20331300030984 and 20331300031002.

It is not an unprimeable number, because it can be changed into a prime (20331300031027) 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, 1711382952 + ... + 1711394831.

It is an arithmetic number, because the mean of its divisors is an integer number (718783334640).

Almost surely, 220331300031020 is an apocalyptic number.

20331300031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20331300031020 is an abundant number, since it is smaller than the sum of its proper divisors (48671900094420).

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

20331300031020 is a wasteful number, since it uses less digits than its factorization.

20331300031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422777812 (or 3422777804 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20331300031020 its reverse (2013000313302), we get a palindrome (22344300344322).

The spelling of 20331300031020 in words is "twenty trillion, three hundred thirty-one billion, three hundred million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3422777783 6845555566 10268333349 13691111132 17113888915 20536666698 30805000047 34227777830 37650555613 41073333396 51341666745 61610000094 68455555660 75301111226 92415000141 102683333490 112951666839 123220000188 150602222452 154025000235 184830000282 188252778065 205366666980 225903333678 308050000470 338855000517 369660000564 376505556130 451806667356 462075000705 564758334195 616100000940 677710001034 753011112260 924150001410 1016565001551 1129516668390 1355420002068 1694275002585 1848300002820 2033130003102 2259033336780 3388550005170 4066260006204 5082825007755 6777100010340 10165650015510 20331300031020