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102444202000 = 2453721045349
BaseRepresentation
bin101111101101000100…
…1100111100000010000
3100210102111211200001201
41133122021213200100
53134301203431000
6115021234440544
710254443230600
oct1373211474020
9323374750051
10102444202000
113a4a0099258
1217a30433154
13987800370a
144d5b908c00
1529e8ae296a
hex17da267810

102444202000 has 120 divisors (see below), whose sum is σ = 288152818200. Its totient is φ = 35123692800.

The previous prime is 102444201991. The next prime is 102444202001. The reversal of 102444202000 is 202444201.

It can be written as a sum of positive squares in 4 ways, for example, as 769951504 + 101674250496 = 27748^2 + 318864^2 .

It is not an unprimeable number, because it can be changed into a prime (102444202001) 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 23 ways as a sum of consecutive naturals, for example, 424675 + ... + 620674.

It is an arithmetic number, because the mean of its divisors is an integer number (2401273485).

Almost surely, 2102444202000 is an apocalyptic number.

102444202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102444202000 is an abundant number, since it is smaller than the sum of its proper divisors (185708616200).

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

102444202000 is a wasteful number, since it uses less digits than its factorization.

102444202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045386 (or 1045363 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 102444202000 its reverse (202444201), we get a palindrome (102646646201).

The spelling of 102444202000 in words is "one hundred two billion, four hundred forty-four million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 98000 1045349 2090698 4181396 5226745 7317443 8362792 10453490 14634886 16725584 20906980 26133725 29269772 36587215 41813960 51222101 52267450 58539544 73174430 83627920 102444202 104534900 117079088 130668625 146348860 182936075 204888404 209069800 256110505 261337250 292697720 365872150 409776808 418139600 512221010 522674500 585395440 731744300 819553616 914680375 1024442020 1045349000 1280552525 1463488600 1829360750 2048884040 2090698000 2561105050 2926977200 3658721500 4097768080 5122210100 6402762625 7317443000 10244420200 12805525250 14634886000 20488840400 25611050500 51222101000 102444202000