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20310955020 = 223251744914783
BaseRepresentation
bin10010111010101000…
…001001010000001100
31221102111122102100100
4102322220021100030
5313044101030040
613155234131100
71316216161206
oct227250112014
957374572310
1020310955020
118683006144
123b2a120a90
131bb8c3cba5
14da970b776
157dd1e0b30
hex4baa0940c

20310955020 has 144 divisors (see below), whose sum is σ = 65383718400. Its totient is φ = 5085954048.

The previous prime is 20310955009. The next prime is 20310955031. The reversal of 20310955020 is 2055901302.

20310955020 is a `hidden beast` number, since 2 + 0 + 3 + 109 + 550 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20310955009) and next prime (20310955031).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366549 + ... + 1381331.

It is an arithmetic number, because the mean of its divisors is an integer number (454053600).

Almost surely, 220310955020 is an apocalyptic number.

20310955020 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 20310955020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32691859200).

20310955020 is an abundant number, since it is smaller than the sum of its proper divisors (45072763380).

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

20310955020 is a wasteful number, since it uses less digits than its factorization.

20310955020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15264 (or 15259 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 20310955020 in words is "twenty billion, three hundred ten million, nine hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 449 510 612 765 898 1020 1347 1530 1796 2245 2694 3060 4041 4490 5388 6735 7633 8082 8980 13470 14783 15266 16164 20205 22899 26940 29566 30532 38165 40410 44349 45798 59132 68697 73915 76330 80820 88698 91596 114495 133047 137394 147830 152660 177396 221745 228990 251311 266094 274788 295660 343485 443490 457980 502622 532188 665235 686970 753933 886980 1005244 1256555 1330470 1373940 1507866 2261799 2513110 2660940 3015732 3769665 4523598 5026220 6637567 7539330 9047196 11308995 13275134 15078660 19912701 22617990 26550268 33187835 39825402 45235980 59738103 66375670 79650804 99563505 112838639 119476206 132751340 199127010 225677278 238952412 298690515 338515917 398254020 451354556 564193195 597381030 677031834 1015547751 1128386390 1194762060 1354063668 1692579585 2031095502 2256772780 3385159170 4062191004 5077738755 6770318340 10155477510 20310955020