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20202000020 = 22531591673307
BaseRepresentation
bin10010110100001000…
…100000111010010100
31221010220121221011222
4102310020200322110
5312333203000040
613140342545512
71313424111146
oct226410407224
957126557158
1020202000020
118627558694
123ab9738298
131b9c4b2387
14d99068c96
157d386cbb5
hex4b4220e94

20202000020 has 96 divisors (see below), whose sum is σ = 44815196160. Its totient is φ = 7639240320.

The previous prime is 20202000019. The next prime is 20202000023. The reversal of 20202000020 is 2000020202.

It is a junction number, because it is equal to n+sod(n) for n = 20201999971 and 20202000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202000023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6107207 + ... + 6110513.

It is an arithmetic number, because the mean of its divisors is an integer number (466824960).

Almost surely, 220202000020 is an apocalyptic number.

20202000020 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 20202000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407598080).

20202000020 is an abundant number, since it is smaller than the sum of its proper divisors (24613196140).

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

20202000020 is a wasteful number, since it uses less digits than its factorization.

20202000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20202000020 its reverse (2000020202), we get a palindrome (22202020222).

The spelling of 20202000020 in words is "twenty billion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 167 236 295 310 334 590 620 668 835 1180 1670 1829 3307 3340 3658 5177 6614 7316 9145 9853 10354 13228 16535 18290 19706 20708 25885 33070 36580 39412 49265 51770 66140 98530 102517 103540 195113 197060 205034 305443 390226 410068 512585 552269 610886 780452 975565 1025170 1104538 1221772 1527215 1951130 2050340 2209076 2761345 3054430 3902260 5522690 6048503 6108860 11045380 12097006 17120339 24194012 30242515 32583871 34240678 60485030 65167742 68481356 85601695 120970060 130335484 162919355 171203390 325838710 342406780 651677420 1010100001 2020200002 4040400004 5050500005 10101000010 20202000020