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10232032300 = 2252729677523
BaseRepresentation
bin10011000011110000…
…00110110000101100
3222102002101002121021
421201320012300230
5131423400013200
64411151543524
7511362560650
oct114170066054
928362332537
1010232032300
114380796346
121b9682aba4
13c70aab7a9
146d0cc2a60
153ed44341a
hex261e06c2c

10232032300 has 144 divisors (see below), whose sum is σ = 26645794560. Its totient is φ = 3336157440.

The previous prime is 10232032297. The next prime is 10232032309. The reversal of 10232032300 is 323023201.

It is not an unprimeable number, because it can be changed into a prime (10232032309) 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, 1356339 + ... + 1363861.

It is an arithmetic number, because the mean of its divisors is an integer number (185040240).

Almost surely, 210232032300 is an apocalyptic number.

10232032300 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 10232032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322897280).

10232032300 is an abundant number, since it is smaller than the sum of its proper divisors (16413762260).

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

10232032300 is a wasteful number, since it uses less digits than its factorization.

10232032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10232032300 its reverse (323023201), we get a palindrome (10555055501).

Subtracting from 10232032300 its reverse (323023201), we obtain a palindrome (9909009099).

The spelling of 10232032300 in words is "ten billion, two hundred thirty-two million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 67 70 100 116 134 140 145 175 203 268 290 335 350 406 469 580 670 700 725 812 938 1015 1340 1450 1675 1876 1943 2030 2345 2900 3350 3886 4060 4690 5075 6700 7523 7772 9380 9715 10150 11725 13601 15046 19430 20300 23450 27202 30092 37615 38860 46900 48575 52661 54404 68005 75230 97150 105322 136010 150460 188075 194300 210644 218167 263305 272020 340025 376150 436334 504041 526610 680050 752300 872668 1008082 1053220 1090835 1316525 1360100 1527169 2016164 2181670 2520205 2633050 3054338 3528287 4363340 5040410 5266100 5454175 6108676 7056574 7635845 10080820 10908350 12601025 14113148 14617189 15271690 17641435 21816700 25202050 29234378 30543380 35282870 38179225 50404100 58468756 70565740 73085945 76358450 88207175 102320323 146171890 152716900 176414350 204640646 292343780 352828700 365429725 409281292 511601615 730859450 1023203230 1461718900 2046406460 2558008075 5116016150 10232032300