Search a number
-
+
3301224244120 = 2351143353494287
BaseRepresentation
bin110000000010100000010…
…011000110001110011000
3102200121000222211100102001
4300002200103012032120
5413041401401302440
611004321140250344
7460335262041325
oct60024023061630
912617028740361
103301224244120
111063050028780
124539713a09b4
131ac3c51910ca
14b5acc879b4c
155ad1462bb9a
hex300a04c6398

3301224244120 has 128 divisors (see below), whose sum is σ = 8314952279040. Its totient is φ = 1169203875840.

The previous prime is 3301224244111. The next prime is 3301224244121. The reversal of 3301224244120 is 214424221033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301224244121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6431617 + ... + 6925903.

It is an arithmetic number, because the mean of its divisors is an integer number (64960564680).

Almost surely, 23301224244120 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 3301224244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157476139520).

3301224244120 is an abundant number, since it is smaller than the sum of its proper divisors (5013728034920).

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

3301224244120 is a wasteful number, since it uses less digits than its factorization.

3301224244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494705 (or 494701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3301224244120 its reverse (214424221033), we get a palindrome (3515648465153).

The spelling of 3301224244120 in words is "three trillion, three hundred one billion, two hundred twenty-four million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 353 430 440 473 706 860 946 1412 1720 1765 1892 2365 2824 3530 3784 3883 4730 7060 7766 9460 14120 15179 15532 18920 19415 30358 31064 38830 60716 75895 77660 121432 151790 155320 166969 303580 333938 494287 607160 667876 834845 988574 1335752 1669690 1977148 2471435 3339380 3954296 4942870 5437157 6678760 9885740 10874314 19771480 21254341 21748628 27185785 42508682 43497256 54371570 85017364 106271705 108743140 170034728 174483311 212543410 217486280 233797751 348966622 425086820 467595502 697933244 850173640 872416555 935191004 1168988755 1395866488 1744833110 1870382008 1919316421 2337977510 3489666220 3838632842 4675955020 6979332440 7502782373 7677265684 9351910040 9596582105 15005564746 15354531368 19193164210 30011129492 37513911865 38386328420 60022258984 75027823730 76772656840 82530606103 150055647460 165061212206 300111294920 330122424412 412653030515 660244848824 825306061030 1650612122060 3301224244120