Search a number
-
+
122255103012500 = 2255277264713339
BaseRepresentation
bin11011110011000010111011…
…111111001010111010010100
3121000212110210022221122011202
4123303002323333022322110
5112011011422332400000
61112003115144452032
734515432264416363
oct3363027377127224
9530773708848152
10122255103012500
1135a55109515047
1211865a3677a018
13532a7b7038543
14222926dd697da
15e20208450dd5
hex6f30bbfcae94

122255103012500 has 144 divisors (see below), whose sum is σ = 268502840968320. Its totient is φ = 48703440240000.

The previous prime is 122255103012491. The next prime is 122255103012503. The reversal of 122255103012500 is 5210301552221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122255103012503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9165230831 + ... + 9165244169.

It is an arithmetic number, because the mean of its divisors is an integer number (1864603062280).

Almost surely, 2122255103012500 is an apocalyptic number.

122255103012500 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 122255103012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134251420484160).

122255103012500 is an abundant number, since it is smaller than the sum of its proper divisors (146247737955820).

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

122255103012500 is a wasteful number, since it uses less digits than its factorization.

122255103012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16292 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 122255103012500 its reverse (5210301552221), we get a palindrome (127465404564721).

The spelling of 122255103012500 in words is "one hundred twenty-two trillion, two hundred fifty-five billion, one hundred three million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 277 500 554 625 1108 1250 1385 2500 2647 2770 3125 5294 5540 6250 6925 10588 12500 13235 13339 13850 26470 26678 27700 34625 52940 53356 66175 66695 69250 132350 133390 138500 173125 264700 266780 330875 333475 346250 661750 666950 692500 733219 865625 1323500 1333900 1466438 1654375 1667375 1731250 2932876 3308750 3334750 3462500 3666095 3694903 6617500 6669500 7332190 7389806 8271875 8336875 14664380 14779612 16543750 16673750 18330475 18474515 33087500 33347500 35308333 36660950 36949030 41684375 70616666 73321900 73898060 83368750 91652375 92372575 141233332 166737500 176541665 183304750 184745150 353083330 366609500 369490300 458261875 461862875 706166660 882708325 916523750 923725750 1765416650 1833047500 1847451500 2291309375 2309314375 3530833300 4413541625 4582618750 4618628750 8827083250 9165237500 9237257500 9780408241 11546571875 17654166500 19560816482 22067708125 23093143750 39121632964 44135416250 46186287500 48902041205 88270832500 97804082410 110338540625 195608164820 220677081250 244510206025 441354162500 489020412050 978040824100 1222551030125 2445102060250 4890204120500 6112755150625 12225510301250 24451020602500 30563775753125 61127551506250 122255103012500