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2030200120 = 2351319120441
BaseRepresentation
bin111100100000010…
…0110010100111000
312020111011212000001
41321000212110320
513124212400440
6533242122344
7101211262534
oct17100462470
95214155001
102030200120
11951aa4443
12487ab03b4
132647bc460
141538babc4
15bd37ab9a
hex79026538

2030200120 has 64 divisors (see below), whose sum is σ = 4945328640. Its totient is φ = 745651200.

The previous prime is 2030200111. The next prime is 2030200171. The reversal of 2030200120 is 210020302.

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 = 2030200097 and 2030200106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 89100 + ... + 109540.

It is an arithmetic number, because the mean of its divisors is an integer number (77270760).

Almost surely, 22030200120 is an apocalyptic number.

2030200120 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 2030200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472664320).

2030200120 is an abundant number, since it is smaller than the sum of its proper divisors (2915128520).

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

2030200120 is a wasteful number, since it uses less digits than its factorization.

2030200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20656 (or 20652 counting only the distinct ones).

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

The square root of 2030200120 is about 45057.7420650436. The cubic root of 2030200120 is about 1266.2310231630.

Adding to 2030200120 its reverse (210020302), we get a palindrome (2240220422).

The spelling of 2030200120 in words is "two billion, thirty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 191 260 382 520 764 955 1528 1910 2483 3820 4966 7640 9932 12415 19864 20441 24830 40882 49660 81764 99320 102205 163528 204410 265733 408820 531466 817640 1062932 1328665 2125864 2657330 3904231 5314660 7808462 10629320 15616924 19521155 31233848 39042310 50755003 78084620 101510006 156169240 203020012 253775015 406040024 507550030 1015100060 2030200120