Search a number
-
+
102322322300 = 2252111015031831
BaseRepresentation
bin101111101001011100…
…0101011101101111100
3100210010000111112112202
41133102320223231330
53134024003303200
6115001202251032
710251433250312
oct1372270535574
9323100445482
10102322322300
113a438313230
12179b7656a78
13985899c053
144d496600b2
1529dd06a1d5
hex17d2e2bb7c

102322322300 has 144 divisors (see below), whose sum is σ = 245243303424. Its totient is φ = 36746400000.

The previous prime is 102322322287. The next prime is 102322322303. The reversal of 102322322300 is 3223223201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102322322303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55882385 + ... + 55884215.

It is an arithmetic number, because the mean of its divisors is an integer number (1703078496).

Almost surely, 2102322322300 is an apocalyptic number.

102322322300 is a gapful number since it is divisible by the number (10) 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 102322322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122621651712).

102322322300 is an abundant number, since it is smaller than the sum of its proper divisors (142920981124).

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

102322322300 is a wasteful number, since it uses less digits than its factorization.

102322322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

102322322300 divided by its sum of digits (20) gives a palindrome (5116116115).

Adding to 102322322300 its reverse (3223223201), we get a palindrome (105545545501).

Subtracting from 102322322300 its reverse (3223223201), we obtain a palindrome (99099099099).

The spelling of 102322322300 in words is "one hundred two billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 503 505 550 1006 1010 1100 1111 1831 2012 2020 2222 2515 2525 3662 4444 5030 5050 5533 5555 7324 9155 10060 10100 11066 11110 12575 18310 20141 22132 22220 25150 27665 27775 36620 40282 45775 50300 50803 55330 55550 80564 91550 100705 101606 110660 111100 138325 183100 184931 201410 203212 254015 276650 369862 402820 503525 508030 553300 558833 739724 920993 924655 1007050 1016060 1117666 1270075 1841986 1849310 2014100 2034241 2235332 2540150 2794165 3683972 3698620 4068482 4604965 4623275 5080300 5588330 8136964 9209930 9246550 10130923 10171205 11176660 13970825 18419860 18493100 20261846 20342410 23024825 27941650 40523692 40684820 46049650 50654615 50856025 55883300 92099300 93020293 101309230 101712050 186040586 202618460 203424100 253273075 372081172 465101465 506546150 930202930 1013092300 1023223223 1860405860 2046446446 2325507325 4092892892 4651014650 5116116115 9302029300 10232232230 20464464460 25580580575 51161161150 102322322300