Search a number
-
+
2101133320 = 23511131073433
BaseRepresentation
bin111110100111100…
…1100000000001000
312102102122122001121
41331033030000020
513300342231240
6544254325024
7103032224056
oct17517140010
95372578047
102101133320
11989042620
124a77b9774
132763c6970
1415d0a31d6
15c46dd04a
hex7d3cc008

2101133320 has 128 divisors (see below), whose sum is σ = 5607584640. Its totient is φ = 698480640.

The previous prime is 2101133249. The next prime is 2101133323. The reversal of 2101133320 is 233311012.

It is a super-2 number, since 2×21011333202 = 8829522456828444800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101133294 and 2101133303.

It is not an unprimeable number, because it can be changed into a prime (2101133323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610324 + ... + 613756.

It is an arithmetic number, because the mean of its divisors is an integer number (43809255).

Almost surely, 22101133320 is an apocalyptic number.

2101133320 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 2101133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803792320).

2101133320 is an abundant number, since it is smaller than the sum of its proper divisors (3506451320).

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

2101133320 is a wasteful number, since it uses less digits than its factorization.

2101133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2101133320 is about 45838.1208166303. The cubic root of 2101133320 is about 1280.8094895873.

Adding to 2101133320 its reverse (233311012), we get a palindrome (2334444332).

The spelling of 2101133320 in words is "two billion, one hundred one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 107 110 130 143 214 220 260 286 428 440 520 535 572 715 856 1070 1144 1177 1391 1430 2140 2354 2782 2860 3433 4280 4708 5564 5720 5885 6866 6955 9416 11128 11770 13732 13910 15301 17165 23540 27464 27820 30602 34330 37763 44629 47080 55640 61204 68660 75526 76505 89258 122408 137320 151052 153010 178516 188815 223145 302104 306020 357032 367331 377630 446290 490919 612040 734662 755260 892580 981838 1469324 1510520 1785160 1836655 1963676 2454595 2938648 3673310 3927352 4040641 4775303 4909190 7346620 8081282 9550606 9818380 14693240 16162564 19101212 19636760 20203205 23876515 32325128 38202424 40406410 47753030 52528333 80812820 95506060 105056666 161625640 191012120 210113332 262641665 420226664 525283330 1050566660 2101133320