Search a number
-
+
21311303223300 = 223523111807194083
BaseRepresentation
bin1001101100001111011001…
…01010001000100000000100
32210110100012100211012021220
410312013230222020200010
510243131022111121200
6113154135541040340
74326455650352136
oct466075452104004
983410170735256
1021311303223300
1168770890a3192
1224823343b60b0
13bb785509178c
14539688a89056
1526e5512944a0
hex1361eca88804

21311303223300 has 144 divisors (see below), whose sum is σ = 63655477788672. Its totient is φ = 5499197020800.

The previous prime is 21311303223229. The next prime is 21311303223307. The reversal of 21311303223300 is 332230311312.

It is not an unprimeable number, because it can be changed into a prime (21311303223307) 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 47 ways as a sum of consecutive naturals, for example, 109708059 + ... + 109902141.

It is an arithmetic number, because the mean of its divisors is an integer number (442051929088).

Almost surely, 221311303223300 is an apocalyptic number.

21311303223300 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 21311303223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31827738894336).

21311303223300 is an abundant number, since it is smaller than the sum of its proper divisors (42344174565372).

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

21311303223300 is a wasteful number, since it uses less digits than its factorization.

21311303223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205938 (or 205931 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21311303223300 its reverse (332230311312), we get a palindrome (21643533534612).

The spelling of 21311303223300 in words is "twenty-one trillion, three hundred eleven billion, three hundred three million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 11807 23614 35421 47228 59035 70842 118070 141684 177105 194083 236140 295175 354210 366017 388166 582249 590350 708420 732034 776332 885525 970415 1098051 1164498 1180700 1464068 1771050 1830085 1940830 2196102 2328996 2911245 3542100 3660170 3881660 4392204 4852075 5490255 5822490 6016573 7320340 9150425 9704150 10980510 11644980 12033146 14556225 18049719 18300850 19408300 21961020 24066292 27451275 29112450 30082865 36099438 36601700 54902550 58224900 60165730 72198876 90248595 109805100 120331460 150414325 180497190 300828650 360994380 451242975 601657300 902485950 1804971900 2291537981 4583075962 6874613943 9166151924 11457689905 13749227886 22915379810 27498455772 34373069715 45830759620 57288449525 68746139430 71037677411 114576899050 137492278860 142075354822 171865348575 213113032233 229153798100 284150709644 343730697150 355188387055 426226064466 687461394300 710376774110 852452128932 1065565161165 1420753548220 1775941935275 2131130322330 3551883870550 4262260644660 5327825805825 7103767741100 10655651611650 21311303223300