Search a number
-
+
103200324000424 = 23710361632903111
BaseRepresentation
bin10111011101110000110010…
…101001110001101010101000
3111112101212002000112102020221
4113131300302221301222220
5102011313230421003144
61003253324020455424
730510656143253110
oct2735606251615250
9445355060472227
10103200324000424
112a9790145203a2
12b6a8ab784a574
134577997147031
141b6accac4a040
15bde725b37d84
hex5ddc32a71aa8

103200324000424 has 64 divisors (see below), whose sum is σ = 223326883952640. Its totient is φ = 43792183431360.

The previous prime is 103200324000413. The next prime is 103200324000481. The reversal of 103200324000424 is 424000423002301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34096629 + ... + 36999739.

It is an arithmetic number, because the mean of its divisors is an integer number (3489482561760).

Almost surely, 2103200324000424 is an apocalyptic number.

103200324000424 is a gapful number since it is divisible by the number (14) 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 103200324000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111663441976320).

103200324000424 is an abundant number, since it is smaller than the sum of its proper divisors (120126559952216).

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

103200324000424 is a wasteful number, since it uses less digits than its factorization.

103200324000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909390 (or 2909386 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 103200324000424 its reverse (424000423002301), we get a palindrome (527200747002725).

The spelling of 103200324000424 in words is "one hundred three trillion, two hundred billion, three hundred twenty-four million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5768 6163 12326 24652 43141 49304 86282 172564 345128 634789 1269578 2539156 2903111 4443523 5078312 5806222 8887046 11612444 17774092 20321777 23224888 35548184 40643554 81287108 162574216 299020433 598040866 1196081732 2093143031 2392163464 4186286062 8372572124 16745144248 17891873093 35783746186 71567492372 125243111651 143134984744 250486223302 500972446604 1001944893208 1842862928579 3685725857158 7371451714316 12900040500053 14742903428632 25800081000106 51600162000212 103200324000424