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20205010020 = 223513191363361
BaseRepresentation
bin10010110100010011…
…111111110001100100
31221011010021212010110
4102310103333301210
5312334440310040
613140531253020
71313461515516
oct226423776144
957133255113
1020205010020
118629224098
123aba74a170
131b9ccc7440
14d9960dbb6
157d3c64980
hex4b44ffc64

20205010020 has 96 divisors (see below), whose sum is σ = 64132548480. Its totient is φ = 4711772160.

The previous prime is 20205010019. The next prime is 20205010037. The reversal of 20205010020 is 2001050202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20205009978 and 20205010005.

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 31 ways as a sum of consecutive naturals, for example, 666861 + ... + 696500.

It is an arithmetic number, because the mean of its divisors is an integer number (668047380).

Almost surely, 220205010020 is an apocalyptic number.

20205010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20205010020 is an abundant number, since it is smaller than the sum of its proper divisors (43927538460).

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

20205010020 is a wasteful number, since it uses less digits than its factorization.

20205010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363405 (or 1363403 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 20205010020 its reverse (2001050202), we get a palindrome (22206060222).

The spelling of 20205010020 in words is "twenty billion, two hundred five million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 1363361 2726722 4090083 5453444 6816805 8180166 13633610 16360332 17723693 20450415 25903859 27267220 35447386 40900830 51807718 53171079 70894772 77711577 81801660 88618465 103615436 106342158 129519295 155423154 177236930 212684316 259038590 265855395 310846308 336750167 354473860 388557885 518077180 531710790 673500334 777115770 1010250501 1063421580 1347000668 1554231540 1683750835 2020501002 3367501670 4041002004 5051252505 6735003340 10102505010 20205010020