Search a number
-
+
30221310300 = 22352971935381
BaseRepresentation
bin11100001001010101…
…001001100101011100
32220000011201122000220
4130021111021211130
5443343123412200
621514455321340
72116624620246
oct341125114534
986004648026
1030221310300
11118a9161805
125a35080250
132b081a103c
1416699b7096
15bbd2924a0
hex70954995c

30221310300 has 144 divisors (see below), whose sum is σ = 88816002912. Its totient is φ = 7933132800.

The previous prime is 30221310293. The next prime is 30221310331. The reversal of 30221310300 is 301312203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30221310300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5613610 + ... + 5618990.

It is an arithmetic number, because the mean of its divisors is an integer number (616777798).

Almost surely, 230221310300 is an apocalyptic number.

30221310300 is a gapful number since it is divisible by the number (30) 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 30221310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44408001456).

30221310300 is an abundant number, since it is smaller than the sum of its proper divisors (58594692612).

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

30221310300 is a wasteful number, since it uses less digits than its factorization.

30221310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30221310300 its reverse (301312203), we get a palindrome (30522622503).

The spelling of 30221310300 in words is "thirty billion, two hundred twenty-one million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 193 194 291 300 386 388 485 579 582 772 965 970 1158 1164 1455 1930 1940 2316 2425 2895 2910 3860 4825 4850 5381 5790 5820 7275 9650 9700 10762 11580 14475 14550 16143 18721 19300 21524 26905 28950 29100 32286 37442 53810 56163 57900 64572 74884 80715 93605 107620 112326 134525 161430 187210 224652 269050 280815 322860 374420 403575 468025 521957 538100 561630 807150 936050 1038533 1043914 1123260 1404075 1565871 1614300 1872100 2077066 2087828 2609785 2808150 3115599 3131742 4154132 5192665 5219570 5616300 6231198 6263484 7829355 10385330 10439140 12462396 13048925 15577995 15658710 20770660 25963325 26097850 31155990 31317420 39146775 51926650 52195700 62311980 77889975 78293550 100737701 103853300 155779950 156587100 201475402 302213103 311559900 402950804 503688505 604426206 1007377010 1208852412 1511065515 2014754020 2518442525 3022131030 5036885050 6044262060 7555327575 10073770100 15110655150 30221310300