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2030210120 = 235414726339
BaseRepresentation
bin111100100000010…
…1000110001001000
312020111012100201102
41321000220301020
513124213210440
6533242240532
7101211333641
oct17100506110
95214170642
102030210120
11952000a04
12487ab6148
132647c3b83
141538c06c8
15bd37db15
hex79028c48

2030210120 has 64 divisors (see below), whose sum is σ = 4779129600. Its totient is φ = 775390720.

The previous prime is 2030210099. The next prime is 2030210137. The reversal of 2030210120 is 210120302.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 63911 + ... + 90249.

It is an arithmetic number, because the mean of its divisors is an integer number (74673900).

Almost surely, 22030210120 is an apocalyptic number.

2030210120 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 2030210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389564800).

2030210120 is an abundant number, since it is smaller than the sum of its proper divisors (2748919480).

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

2030210120 is a wasteful number, since it uses less digits than its factorization.

2030210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26438 (or 26434 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2030210120 is about 45057.8530336278. The cubic root of 2030210120 is about 1266.2331021517.

Adding to 2030210120 its reverse (210120302), we get a palindrome (2240330422).

The spelling of 2030210120 in words is "two billion, thirty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 820 940 1640 1880 1927 3854 7708 9635 15416 19270 26339 38540 52678 77080 105356 131695 210712 263390 526780 1053560 1079899 1237933 2159798 2475866 4319596 4951732 5399495 6189665 8639192 9903464 10798990 12379330 21597980 24758660 43195960 49517320 50755253 101510506 203021012 253776265 406042024 507552530 1015105060 2030210120