Search a number
-
+
330303122110220 = 22572325038866679
BaseRepresentation
bin100101100011010001011000…
…0010000101111011100001100
31121022111200002111101000011012
41023012202300100233130030
5321243141243230011340
63130255054242144352
7126400420165455050
oct11306426020573414
91538450074330135
10330303122110220
11962768494a0456
1231066b5b3520b8
131123c5b243c75c
145b7ca83835c60
15282be1ee5b565
hex12c68b042f70c

330303122110220 has 144 divisors (see below), whose sum is σ = 830340039029760. Its totient is φ = 108107645382528.

The previous prime is 330303122110219. The next prime is 330303122110231. The reversal of 330303122110220 is 22011221303033.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 32818841 + ... + 41685519.

It is an arithmetic number, because the mean of its divisors is an integer number (5766250271040).

Almost surely, 2330303122110220 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 330303122110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415170019514880).

330303122110220 is an abundant number, since it is smaller than the sum of its proper divisors (500036916919540).

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

330303122110220 is a wasteful number, since it uses less digits than its factorization.

330303122110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867244 (or 8867219 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 330303122110220 its reverse (22011221303033), we get a palindrome (352314343413253).

The spelling of 330303122110220 in words is "three hundred thirty trillion, three hundred three billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 503 529 644 805 1006 1058 1610 2012 2116 2515 2645 3220 3521 3703 5030 5290 7042 7406 10060 10580 11569 14084 14812 17605 18515 23138 35210 37030 46276 57845 70420 74060 80983 115690 161966 231380 266087 323932 404915 532174 809830 1064348 1330435 1619660 1862609 2660870 3725218 5321740 7450436 8866679 9313045 17733358 18626090 35466716 37252180 44333395 62066753 88666790 124133506 177333580 203933617 248267012 310333765 407867234 620667530 815734468 1019668085 1241335060 1427535319 2039336170 2855070638 4078672340 4459939537 4690473191 5710141276 7137676595 8919879074 9380946382 14275353190 17839758148 18761892764 22299697685 23452365955 28550706380 31219576759 32833312337 44599395370 46904731910 62439153518 65666624674 89198790740 93809463820 102578609351 124878307036 131333249348 156097883795 164166561685 205157218702 312195767590 328333123370 410314437404 512893046755 624391535180 656666246740 718050265457 1025786093510 1436100530914 2051572187020 2359308015073 2872201061828 3590251327285 4718616030146 7180502654570 9437232060292 11796540075365 14361005309140 16515156105511 23593080150730 33030312211022 47186160301460 66060624422044 82575780527555 165151561055110 330303122110220