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20200121000020 = 225131012129361313
BaseRepresentation
bin1001001011111001101010…
…00010010110000001010100
32122112010001011102121222101
410211330311002112001110
510121424321434000040
6110543450225411444
74153260554323423
oct445746502260124
978463034377871
1020200121000020
116488906763355
122322b03799b84
13b36b2b6ba050
144db9964392ba
152506b8c5c09a
hex125f35096054

20200121000020 has 96 divisors (see below), whose sum is σ = 46157458828320. Its totient is φ = 7381170585600.

The previous prime is 20200121000011. The next prime is 20200121000083. The reversal of 20200121000020 is 2000012100202.

It can be written as a sum of positive squares in 16 ways, for example, as 5088895316164 + 15111225683856 = 2255858^2 + 3887316^2 .

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 = 20200120999970 and 20200121000006.

It is a congruent number.

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, 55726884 + ... + 56088196.

It is an arithmetic number, because the mean of its divisors is an integer number (480806862795).

Almost surely, 220200121000020 is an apocalyptic number.

20200121000020 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 20200121000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23078729414160).

20200121000020 is an abundant number, since it is smaller than the sum of its proper divisors (25957337828300).

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

20200121000020 is a wasteful number, since it uses less digits than its factorization.

20200121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363565 (or 363563 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20200121000020 its reverse (2000012100202), we get a palindrome (22200133100222).

The spelling of 20200121000020 in words is "twenty trillion, two hundred billion, one hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2129 2626 4258 5252 6565 8516 10645 13130 21290 26260 27677 42580 55354 110708 138385 215029 276770 361313 430058 553540 722626 860116 1075145 1445252 1806565 2150290 2795377 3613130 4300580 4697069 5590754 7226260 9394138 11181508 13976885 18788276 23485345 27953770 36492613 46970690 55907540 72985226 93941380 145970452 182463065 364926130 474403969 729852260 769235377 948807938 1538470754 1897615876 2372019845 3076941508 3846176885 4744039690 7692353770 9488079380 10000059901 15384707540 20000119802 40000239604 50000299505 77692773077 100000599010 155385546154 200001198020 310771092308 388463865385 776927730770 1010006050001 1553855461540 2020012100002 4040024200004 5050030250005 10100060500010 20200121000020