Search a number
-
+
123131032300 = 2252171513671307
BaseRepresentation
bin111001010101100101…
…1100111001011101100
3102202211012202112100201
41302223023213023230
54004133021013200
6132322101203244
711616205335313
oct1625313471354
9382735675321
10123131032300
1148246292021
121ba44400524
13b7c3a891c3
145d610db27a
153309ccdc6a
hex1cab2e72ec

123131032300 has 144 divisors (see below), whose sum is σ = 285779708928. Its totient is φ = 45887616000.

The previous prime is 123131032253. The next prime is 123131032303. The reversal of 123131032300 is 3230131321.

It is a super-2 number, since 2×1231310323002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123131032303) 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, 94208247 + ... + 94209553.

It is an arithmetic number, because the mean of its divisors is an integer number (1984581312).

Almost surely, 2123131032300 is an apocalyptic number.

123131032300 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 123131032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142889854464).

123131032300 is an abundant number, since it is smaller than the sum of its proper divisors (162648676628).

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

123131032300 is a wasteful number, since it uses less digits than its factorization.

123131032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 123131032300 its reverse (3230131321), we get a palindrome (126361163621).

The spelling of 123131032300 in words is "one hundred twenty-three billion, one hundred thirty-one million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 151 170 302 340 367 425 604 734 755 850 1307 1468 1510 1700 1835 2567 2614 3020 3670 3775 5134 5228 6239 6535 7340 7550 9175 10268 12478 12835 13070 15100 18350 22219 24956 25670 26140 31195 32675 36700 44438 51340 55417 62390 64175 65350 88876 110834 111095 124780 128350 130700 155975 197357 221668 222190 256700 277085 311950 394714 444380 479669 554170 555475 623900 789428 942089 959338 986785 1108340 1110950 1385425 1884178 1918676 1973570 2221900 2398345 2770850 3355069 3768356 3947140 4710445 4796690 4933925 5541700 6710138 8154373 9420890 9593380 9867850 11991725 13420276 16308746 16775345 18841780 19735700 23552225 23983450 32617492 33550690 40771865 47104450 47966900 67101380 72430019 81543730 83876725 94208900 144860038 163087460 167753450 203859325 289720076 335506900 362150095 407718650 724300190 815437300 1231310323 1448600380 1810750475 2462620646 3621500950 4925241292 6156551615 7243001900 12313103230 24626206460 30782758075 61565516150 123131032300