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2100806052 = 22329411131303
BaseRepresentation
bin111110100110111…
…1100000110100100
312102102001000010120
41331031330012210
513300301243202
6544243321540
7103026361662
oct17515740644
95372030116
102100806052
11988939754
124a76802b0
13276310a07
1415d019c32
15c46760bc
hex7d37c1a4

2100806052 has 96 divisors (see below), whose sum is σ = 5244583680. Its totient is φ = 653291520.

The previous prime is 2100806051. The next prime is 2100806053. The reversal of 2100806052 is 2506080012.

It is an interprime number because it is at equal distance from previous prime (2100806051) and next prime (2100806053).

It is not an unprimeable number, because it can be changed into a prime (2100806051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611633 + ... + 1612935.

It is an arithmetic number, because the mean of its divisors is an integer number (54631080).

Almost surely, 22100806052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100806052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622291840).

2100806052 is an abundant number, since it is smaller than the sum of its proper divisors (3143777628).

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

2100806052 is a wasteful number, since it uses less digits than its factorization.

2100806052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2100806052 is about 45834.5508541319. The cubic root of 2100806052 is about 1280.7429874254.

Adding to 2100806052 its reverse (2506080012), we get a palindrome (4606886064).

The spelling of 2100806052 in words is "two billion, one hundred million, eight hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 113 116 123 164 174 226 246 339 348 452 492 678 1189 1303 1356 2378 2606 3277 3567 3909 4633 4756 5212 6554 7134 7818 9266 9831 13108 13899 14268 15636 18532 19662 27798 37787 39324 53423 55596 75574 106846 113361 134357 147239 151148 160269 213692 226722 268714 294478 320538 403071 441717 453444 537428 588956 641076 806142 883434 1549267 1612284 1766868 3098534 4269931 4647801 6036799 6197068 8539862 9295602 12073598 12809793 17079724 18110397 18591204 24147196 25619586 36220794 51239172 72441588 175067171 350134342 525201513 700268684 1050403026 2100806052