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20012020020 = 22325475940093
BaseRepresentation
bin10010101000110011…
…110011000100110100
31220122200010221121200
4102220303303010310
5311441034120040
613105435012500
71305626235456
oct225063630464
956580127550
1020012020020
11853a299923
123a65b9a130
131b6c025a85
14d7bb342d6
157c1d42630
hex4a8cf3134

20012020020 has 144 divisors (see below), whose sum is σ = 63047013120. Its totient is φ = 5134341888.

The previous prime is 20012020003. The next prime is 20012020051. The reversal of 20012020020 is 2002021002.

It is a super-3 number, since 3×200120200203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20012019984 and 20012020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479094 + ... + 519186.

It is an arithmetic number, because the mean of its divisors is an integer number (437826480).

Almost surely, 220012020020 is an apocalyptic number.

20012020020 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 20012020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31523506560).

20012020020 is an abundant number, since it is smaller than the sum of its proper divisors (43034993100).

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

20012020020 is a wasteful number, since it uses less digits than its factorization.

20012020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40214 (or 40209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20012020020 its reverse (2002021002), we get a palindrome (22014041022).

The spelling of 20012020020 in words is "twenty billion, twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 59 60 90 94 118 141 177 180 188 235 236 282 295 354 423 470 531 564 590 705 708 846 885 940 1062 1180 1410 1692 1770 2115 2124 2655 2773 2820 3540 4230 5310 5546 8319 8460 10620 11092 13865 16638 24957 27730 33276 40093 41595 49914 55460 80186 83190 99828 120279 124785 160372 166380 200465 240558 249570 360837 400930 481116 499140 601395 721674 801860 1202790 1443348 1804185 1884371 2365487 2405580 3608370 3768742 4730974 5653113 7096461 7216740 7537484 9421855 9461948 11306226 11827435 14192922 16959339 18843710 21289383 22612452 23654870 28265565 28385844 33918678 35482305 37687420 42578766 47309740 56531130 67837356 70964610 84796695 85157532 106446915 111177889 113062260 141929220 169593390 212893830 222355778 333533667 339186780 425787660 444711556 555889445 667067334 1000601001 1111778890 1334134668 1667668335 2001202002 2223557780 3335336670 4002404004 5003005005 6670673340 10006010010 20012020020