Search a number
-
+
2103332020 = 2253111632917
BaseRepresentation
bin111110101011110…
…0100110010110100
312102120210100002221
41331113210302310
513301423111040
6544413412124
7103060012216
oct17527446264
95376710087
102103332020
1198a304529
124a849a044
132769b667a
1415d4b65b6
15c49c474a
hex7d5e4cb4

2103332020 has 48 divisors (see below), whose sum is σ = 4564965888. Its totient is φ = 813214080.

The previous prime is 2103332009. The next prime is 2103332027. The reversal of 2103332020 is 202333012.

It is a junction number, because it is equal to n+sod(n) for n = 2103331985 and 2103332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103332027) 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, 719602 + ... + 722518.

It is an arithmetic number, because the mean of its divisors is an integer number (95103456).

Almost surely, 22103332020 is an apocalyptic number.

2103332020 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 2103332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282482944).

2103332020 is an abundant number, since it is smaller than the sum of its proper divisors (2461633868).

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

2103332020 is a wasteful number, since it uses less digits than its factorization.

2103332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2103332020 is about 45862.0978586894. The cubic root of 2103332020 is about 1281.2560952476.

Adding to 2103332020 its reverse (202333012), we get a palindrome (2305665032).

The spelling of 2103332020 in words is "two billion, one hundred three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1163 2326 2917 4652 5815 5834 11630 11668 14585 23260 29170 36053 58340 72106 90427 144212 180265 180854 360530 361708 452135 721060 904270 1808540 3392471 6784942 13569884 16962355 33924710 67849420 105166601 210333202 420666404 525833005 1051666010 2103332020