Search a number
-
+
33420341130 = 23511237162017
BaseRepresentation
bin11111001000000000…
…011110111110001010
310012021010021020100020
4133020000132332022
51021421101404010
623204133521310
72262121132611
oct371000367612
9105233236306
1033420341130
111319aa02a40
1265884a3236
1331c7b906a7
1418907cc878
15d0904d470
hex7c801ef8a

33420341130 has 128 divisors (see below), whose sum is σ = 92592377856. Its totient is φ = 7640371200.

The previous prime is 33420341063. The next prime is 33420341203. The reversal of 33420341130 is 3114302433.

It is a super-2 number, since 2×334203411302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33420341130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507882 + ... + 569898.

It is an arithmetic number, because the mean of its divisors is an integer number (723377952).

Almost surely, 233420341130 is an apocalyptic number.

33420341130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33420341130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46296188928).

33420341130 is an abundant number, since it is smaller than the sum of its proper divisors (59172036726).

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

33420341130 is a wasteful number, since it uses less digits than its factorization.

33420341130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62132.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33420341130 its reverse (3114302433), we get a palindrome (36534643563).

The spelling of 33420341130 in words is "thirty-three billion, four hundred twenty million, three hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 71 110 115 138 142 165 213 230 253 330 345 355 426 506 690 710 759 781 1065 1265 1518 1562 1633 2130 2343 2530 3266 3795 3905 4686 4899 7590 7810 8165 9798 11715 16330 17963 23430 24495 35926 48990 53889 62017 89815 107778 124034 179630 186051 269445 310085 372102 538890 620170 682187 930255 1364374 1426391 1860510 2046561 2852782 3410935 4093122 4279173 4403207 6821870 7131955 8558346 8806414 10232805 13209621 14263910 15690301 20465610 21395865 22016035 26419242 31380602 42791730 44032070 47070903 48435277 66048105 78451505 94141806 96870554 101273761 132096210 145305831 156903010 202547522 235354515 242176385 290611662 303821283 470709030 484352770 506368805 607642566 726529155 1012737610 1114011371 1453058310 1519106415 2228022742 3038212830 3342034113 5570056855 6684068226 11140113710 16710170565 33420341130