Search a number
-
+
211423110320 = 24529376924179
BaseRepresentation
bin1100010011100111001…
…1001010010010110000
3202012201102212210222102
43010321303022102300
511430443304012240
6241043150555532
721163155533432
oct3047163122260
9665642783872
10211423110320
118173391a044
1234b85208ba8
1316c24aba156
14a339250652
15577623e815
hex3139cca4b0

211423110320 has 80 divisors (see below), whose sum is σ = 508664988000. Its totient is φ = 81628022784.

The previous prime is 211423110319. The next prime is 211423110373. The reversal of 211423110320 is 23011324112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211423110292 and 211423110301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8731991 + ... + 8756169.

It is an arithmetic number, because the mean of its divisors is an integer number (6358312350).

Almost surely, 2211423110320 is an apocalyptic number.

211423110320 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 211423110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254332494000).

211423110320 is an abundant number, since it is smaller than the sum of its proper divisors (297241877680).

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

211423110320 is a wasteful number, since it uses less digits than its factorization.

211423110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27990 (or 27984 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211423110320 its reverse (23011324112), we get a palindrome (234434434432).

The spelling of 211423110320 in words is "two hundred eleven billion, four hundred twenty-three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3769 7538 15076 18845 24179 30152 37690 48358 60304 75380 96716 109301 120895 150760 193432 218602 241790 301520 386864 437204 483580 546505 701191 874408 967160 1093010 1402382 1748816 1934320 2186020 2804764 3505955 4372040 5609528 7011910 8744080 11219056 14023820 28047640 56095280 91130651 182261302 364522604 455653255 729045208 911306510 1458090416 1822613020 2642788879 3645226040 5285577758 7290452080 10571155516 13213944395 21142311032 26427888790 42284622064 52855777580 105711555160 211423110320