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220313302300 = 2252713103235051
BaseRepresentation
bin1100110100101110110…
…0100011010100011100
3210001200000100100201001
43031023230203110130
512102200201133200
6245113250400044
721626366112460
oct3151354432434
9701600310631
10220313302300
118548612a943
1236846590024
1317a108a1590
14a93dc404a0
155ae697a76a
hex334bb2351c

220313302300 has 144 divisors (see below), whose sum is σ = 594121196032. Its totient is φ = 69048288000.

The previous prime is 220313302291. The next prime is 220313302309. The reversal of 220313302300 is 3203313022.

It is a happy number.

220313302300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220313302291) and next prime (220313302309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220313302309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819775 + ... + 1054825.

Almost surely, 2220313302300 is an apocalyptic number.

220313302300 is a gapful number since it is divisible by the number (20) 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 220313302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297060598016).

220313302300 is an abundant number, since it is smaller than the sum of its proper divisors (373807893732).

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

220313302300 is a wasteful number, since it uses less digits than its factorization.

220313302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235188 (or 235181 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 220313302300 its reverse (3203313022), we get a palindrome (223516615322).

It can be divided in two parts, 22031 and 3302300, that added together give a triangular number (3324331 = T2578).

The spelling of 220313302300 in words is "two hundred twenty billion, three hundred thirteen million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 103 130 140 175 182 206 260 325 350 364 412 455 515 650 700 721 910 1030 1300 1339 1442 1820 2060 2275 2575 2678 2884 3605 4550 5150 5356 6695 7210 9100 9373 10300 13390 14420 18025 18746 26780 33475 36050 37492 46865 66950 72100 93730 133900 187460 234325 235051 468650 470102 937300 940204 1175255 1645357 2350510 3055663 3290714 4701020 5876275 6111326 6581428 8226785 11752550 12222652 15278315 16453570 21389641 23505100 24210253 30556630 32907140 41133925 42779282 48420506 61113260 76391575 82267850 85558564 96841012 106948205 121051265 152783150 164535700 169471771 213896410 242102530 305566300 314733289 338943542 427792820 484205060 534741025 605256325 629466578 677887084 847358855 1069482050 1210512650 1258933156 1573666445 1694717710 2138964100 2203133023 2421025300 3147332890 3389435420 4236794275 4406266046 6294665780 7868332225 8473588550 8812532092 11015665115 15736664450 16947177100 22031330230 31473328900 44062660460 55078325575 110156651150 220313302300