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2161105080 = 2335411014349
BaseRepresentation
bin1000000011001111…
…1101100010111000
312120121111111211220
42000303331202320
513411220330310
6554235552040
7104361042621
oct20063754270
95517444756
102161105080
11a09984262
125038bb620
13285963b04
14167034a48
15c9ad7670
hex80cfd8b8

2161105080 has 128 divisors (see below), whose sum is σ = 6708744000. Its totient is φ = 556544000.

The previous prime is 2161105069. The next prime is 2161105097. The reversal of 2161105080 is 805011612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2161105080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494746 + ... + 499094.

Almost surely, 22161105080 is an apocalyptic number.

2161105080 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 2161105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354372000).

2161105080 is an abundant number, since it is smaller than the sum of its proper divisors (4547638920).

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

2161105080 is a wasteful number, since it uses less digits than its factorization.

2161105080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 2161105080 is about 46487.6874021498. The cubic root of 2161105080 is about 1292.8812229806.

Adding to 2161105080 its reverse (805011612), we get a palindrome (2966116692).

The spelling of 2161105080 in words is "two billion, one hundred sixty-one million, one hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 101 120 123 164 202 205 246 303 328 404 410 492 505 606 615 808 820 984 1010 1212 1230 1515 1640 2020 2424 2460 3030 4040 4141 4349 4920 6060 8282 8698 12120 12423 13047 16564 17396 20705 21745 24846 26094 33128 34792 41410 43490 49692 52188 62115 65235 82820 86980 99384 104376 124230 130470 165640 173960 178309 248460 260940 356618 439249 496920 521880 534927 713236 878498 891545 1069854 1317747 1426472 1756996 1783090 2139708 2196245 2635494 2674635 3513992 3566180 4279416 4392490 5270988 5349270 6588735 7132360 8784980 10541976 10698540 13177470 17569960 18009209 21397080 26354940 36018418 52709880 54027627 72036836 90046045 108055254 144073672 180092090 216110508 270138135 360184180 432221016 540276270 720368360 1080552540 2161105080