Search a number
-
+
102432200200 = 235211101460991
BaseRepresentation
bin101111101100101101…
…1110101011000001000
3100210101200020220200121
41133121123311120020
53134240120401300
6115020125313024
710254236223121
oct1373133653010
9323350226617
10102432200200
113a494341110
1217a28405774
139875690965
144d5a0a3048
1529e7a2181a
hex17d96f5608

102432200200 has 96 divisors (see below), whose sum is σ = 262378206720. Its totient is φ = 36879200000.

The previous prime is 102432200159. The next prime is 102432200207. The reversal of 102432200200 is 2002234201.

It is not an unprimeable number, because it can be changed into a prime (102432200207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8296 + ... + 452695.

It is an arithmetic number, because the mean of its divisors is an integer number (2733106320).

Almost surely, 2102432200200 is an apocalyptic number.

102432200200 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 102432200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131189103360).

102432200200 is an abundant number, since it is smaller than the sum of its proper divisors (159946006520).

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

102432200200 is a wasteful number, since it uses less digits than its factorization.

102432200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461119 (or 461110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 102432200200 its reverse (2002234201), we get a palindrome (104434434401).

The spelling of 102432200200 in words is "one hundred two billion, four hundred thirty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 460991 921982 1843964 2304955 3687928 4609910 5070901 9219820 10141802 11524775 18439640 20283604 23049550 25354505 40567208 46099100 46560091 50709010 92198200 93120182 101418020 126772525 186240364 202836040 232800455 253545050 372480728 465600910 507090100 512161001 931201820 1014180200 1024322002 1164002275 1862403640 2048644004 2328004550 2560805005 4097288008 4656009100 5121610010 9312018200 10243220020 12804025025 20486440040 25608050050 51216100100 102432200200