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20310002020 = 22571129634451
BaseRepresentation
bin10010111010100100…
…100000100101100100
31221102102212000002001
4102322210200211210
5313043330031040
613155201455044
71316205111610
oct227244404544
957372760061
1020310002020
118682515140
123b29941484
131bb8998199
14da9540340
157dd0a359a
hex4ba920964

20310002020 has 96 divisors (see below), whose sum is σ = 53205175296. Its totient is φ = 6326832000.

The previous prime is 20310001997. The next prime is 20310002077. The reversal of 20310002020 is 2020001302.

It is a super-3 number, since 3×203100020203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20310001988 and 20310002006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4560795 + ... + 4565245.

It is an arithmetic number, because the mean of its divisors is an integer number (554220576).

Almost surely, 220310002020 is an apocalyptic number.

20310002020 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 20310002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26602587648).

20310002020 is an abundant number, since it is smaller than the sum of its proper divisors (32895173276).

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

20310002020 is a wasteful number, since it uses less digits than its factorization.

20310002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20310002020 its reverse (2020001302), we get a palindrome (22330003322).

The spelling of 20310002020 in words is "twenty billion, three hundred ten million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2963 4451 5926 8902 11852 14815 17804 20741 22255 29630 31157 32593 41482 44510 48961 59260 62314 65186 82964 89020 97922 103705 124628 130372 155785 162965 195844 207410 228151 244805 311570 325930 342727 414820 456302 489610 623140 651860 685454 912604 979220 1140755 1370908 1713635 2281510 3427270 4563020 6854540 13188313 26376626 52753252 65941565 92318191 131883130 145071443 184636382 263766260 290142886 369272764 461590955 580285772 725357215 923181910 1015500101 1450714430 1846363820 2031000202 2901428860 4062000404 5077500505 10155001010 20310002020