[go: up one dir, main page]

Search a number
-
+
2123030020 = 2254113031987
BaseRepresentation
bin111111010001010…
…1101111000000100
312110221212002200111
41332202231320010
513321443430040
6550355522404
7103416312616
oct17642557004
95427762614
102123030020
1199a438971
124b2bb9404
1327aac24a7
14161d62db6
15c65b5dea
hex7e8ade04

2123030020 has 48 divisors (see below), whose sum is σ = 4572908928. Its totient is φ = 827447040.

The previous prime is 2123030011. The next prime is 2123030029. The reversal of 2123030020 is 200303212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2123030011) and next prime (2123030029).

It is not an unprimeable number, because it can be changed into a prime (2123030029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067467 + ... + 1069453.

It is an arithmetic number, because the mean of its divisors is an integer number (95268936).

Almost surely, 22123030020 is an apocalyptic number.

2123030020 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 2123030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286454464).

2123030020 is an abundant number, since it is smaller than the sum of its proper divisors (2449878908).

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

2123030020 is a wasteful number, since it uses less digits than its factorization.

2123030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2123030020 is about 46076.3498988364. The cubic root of 2123030020 is about 1285.2433883175.

Adding to 2123030020 its reverse (200303212), we get a palindrome (2323333232).

The spelling of 2123030020 in words is "two billion, one hundred twenty-three million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1303 1987 2606 3974 5212 6515 7948 9935 13030 19870 26060 39740 53423 81467 106846 162934 213692 267115 325868 407335 534230 814670 1068460 1629340 2589061 5178122 10356244 12945305 25890610 51781220 106151501 212303002 424606004 530757505 1061515010 2123030020