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20002013220 = 2235760179241
BaseRepresentation
bin10010101000001101…
…101000000000100100
31220121222022112212110
4102220031220000210
5311431003410340
613104440321020
71305445210230
oct225015500044
956558275773
1020002013220
118534684642
123a62773170
131b69c310a7
14d7a68b5c0
157c1017680
hex4a8368024

20002013220 has 96 divisors (see below), whose sum is σ = 64113751296. Its totient is φ = 4564224000.

The previous prime is 20002013219. The next prime is 20002013263. The reversal of 20002013220 is 2231020002.

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 = 20002013196 and 20002013205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212800 + ... + 292040.

It is an arithmetic number, because the mean of its divisors is an integer number (667851576).

Almost surely, 220002013220 is an apocalyptic number.

20002013220 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 20002013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32056875648).

20002013220 is an abundant number, since it is smaller than the sum of its proper divisors (44111738076).

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

20002013220 is a wasteful number, since it uses less digits than its factorization.

20002013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79861 (or 79859 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20002013220 its reverse (2231020002), we get a palindrome (22233033222).

The spelling of 20002013220 in words is "twenty billion, two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 601 1202 1803 2404 3005 3606 4207 6010 7212 8414 9015 12020 12621 16828 18030 21035 25242 36060 42070 50484 63105 79241 84140 126210 158482 237723 252420 316964 396205 475446 554687 792410 950892 1109374 1188615 1584820 1664061 2218748 2377230 2773435 3328122 4754460 5546870 6656244 8320305 11093740 16640610 33281220 47623841 95247682 142871523 190495364 238119205 285743046 333366887 476238410 571486092 666733774 714357615 952476820 1000100661 1333467548 1428715230 1666834435 2000201322 2857430460 3333668870 4000402644 5000503305 6667337740 10001006610 20002013220