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350020051220 = 2257413072647
BaseRepresentation
bin1010001011111101101…
…00100010000100010100
31020110110111110220110202
411011332310202010110
521213320113114340
6424444052240032
734200552226430
oct5057664420424
91213414426422
10350020051220
11125496215104
1257a05010018
1327011a9c158
1412d263b19c0
159188bb4c15
hex517ed22114

350020051220 has 144 divisors (see below), whose sum is σ = 864683672832. Its totient is φ = 116518141440.

The previous prime is 350020051211. The next prime is 350020051273. The reversal of 350020051220 is 22150020053.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 350020051192 and 350020051201.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 540988937 + ... + 540989583.

It is an arithmetic number, because the mean of its divisors is an integer number (6004747728).

Almost surely, 2350020051220 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 350020051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432341836416).

350020051220 is an abundant number, since it is smaller than the sum of its proper divisors (514663621612).

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

350020051220 is a wasteful number, since it uses less digits than its factorization.

350020051220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 350020051220 its reverse (22150020053), we get a palindrome (372170071273).

The spelling of 350020051220 in words is "three hundred fifty billion, twenty million, fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 307 410 574 614 647 820 1148 1228 1294 1435 1535 2149 2588 2870 3070 3235 4298 4529 5740 6140 6470 8596 9058 10745 12587 12940 18116 21490 22645 25174 26527 42980 45290 50348 53054 62935 88109 90580 94249 106108 125870 132635 176218 185689 188498 198629 251740 265270 352436 371378 376996 397258 440545 471245 530540 659743 742756 794516 881090 928445 942490 993145 1319486 1390403 1762180 1856890 1884980 1986290 2638972 2780806 3298715 3713780 3864209 3972580 5561612 6597430 6952015 7728418 8143789 13194860 13904030 15456836 16287578 19321045 27049463 27808060 32575156 38642090 40718945 54098926 57006523 60979103 77284180 81437890 108197852 114013046 121958206 135247315 162875780 228026092 243916412 270494630 285032615 304895515 426853721 540989260 570065230 609791030 853707442 1140130460 1219582060 1707414884 2134268605 2500143223 4268537210 5000286446 8537074420 10000572892 12500716115 17501002561 25001432230 35002005122 50002864460 70004010244 87505012805 175010025610 350020051220