Search a number
-
+
3230332122100 = 2252235926339041
BaseRepresentation
bin101111000000011110110…
…011000111001111110100
3102102211001101210102012011
4233000132303013033310
5410411210010401400
610511554420134004
7452245432663666
oct57003663071764
912384041712164
103230332122100
111035a812a5186
12442087837304
131a5807c7ab05
14b24c5598536
1559065a488ba
hex2f01ecc73f4

3230332122100 has 144 divisors (see below), whose sum is σ = 7442219917440. Its totient is φ = 1214409011200.

The previous prime is 3230332122089. The next prime is 3230332122107. The reversal of 3230332122100 is 12212330323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230332122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357293580 + ... + 357302620.

It is an arithmetic number, because the mean of its divisors is an integer number (51682082760).

Almost surely, 23230332122100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230332122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721109958720).

3230332122100 is an abundant number, since it is smaller than the sum of its proper divisors (4211887795340).

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

3230332122100 is a wasteful number, since it uses less digits than its factorization.

3230332122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11770 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3230332122100 its reverse (12212330323), we get a palindrome (3242544452423).

The spelling of 3230332122100 in words is "three trillion, two hundred thirty billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 59 92 100 115 118 230 236 295 460 575 590 1150 1180 1357 1475 2300 2633 2714 2950 5266 5428 5900 6785 9041 10532 13165 13570 18082 26330 27140 33925 36164 45205 52660 60559 65825 67850 90410 121118 131650 135700 155347 180820 207943 226025 242236 263300 302795 310694 415886 452050 533419 605590 621388 776735 831772 904100 1039715 1066838 1211180 1513975 1553470 2079430 2133676 2667095 3027950 3106940 3572981 3883675 4158860 5198575 5334190 6055900 7145962 7767350 10397150 10668380 12268637 13335475 14291924 15534700 17864905 20794300 23804953 24537274 26670950 35729810 47609906 49074548 53341900 61343185 71459620 89324525 95219812 119024765 122686370 178649050 238049530 245372740 306715925 357298100 476099060 547513919 595123825 613431850 1095027838 1190247650 1226863700 1404492227 2190055676 2380495300 2737569595 2808984454 5475139190 5617968908 7022461135 10950278380 13687847975 14044922270 27375695950 28089844540 32303321221 35112305675 54751391900 64606642442 70224611350 129213284884 140449222700 161516606105 323033212210 646066424420 807583030525 1615166061050 3230332122100