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20300310320 = 2453141434643
BaseRepresentation
bin10010111001111111…
…100010011100110000
31221101202121121120012
4102321333202130300
5313033334412240
613154214034052
71316026535123
oct227177423460
957352547505
1020300310320
118677aa5674
123b26648928
131bb6983a54
14da813a3ba
157dc2dbb65
hex4b9fe2730

20300310320 has 160 divisors (see below), whose sum is σ = 51080730624. Its totient is φ = 7486617600.

The previous prime is 20300310307. The next prime is 20300310341. The reversal of 20300310320 is 2301300302.

It is a junction number, because it is equal to n+sod(n) for n = 20300310295 and 20300310304.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4369919 + ... + 4374561.

Almost surely, 220300310320 is an apocalyptic number.

20300310320 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 20300310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25540365312).

20300310320 is an abundant number, since it is smaller than the sum of its proper divisors (30780420304).

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

20300310320 is a wasteful number, since it uses less digits than its factorization.

20300310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 20300310320 its reverse (2301300302), we get a palindrome (22601610622).

The spelling of 20300310320 in words is "twenty billion, three hundred million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 43 62 80 82 86 124 155 164 172 205 215 248 310 328 344 410 430 496 620 656 688 820 860 1240 1271 1333 1640 1720 1763 2480 2542 2666 3280 3440 3526 4643 5084 5332 6355 6665 7052 8815 9286 10168 10664 12710 13330 14104 17630 18572 20336 21328 23215 25420 26660 28208 35260 37144 46430 50840 53320 54653 70520 74288 92860 101680 106640 109306 141040 143933 185720 190363 199649 218612 273265 287866 371440 380726 399298 437224 546530 575732 719665 761452 798596 874448 951815 998245 1093060 1151464 1439330 1522904 1597192 1903630 1996490 2186120 2302928 2878660 3045808 3194384 3807260 3992980 4372240 5757320 5901253 6189119 7614520 7985960 8185609 11514640 11802506 12378238 15229040 15971920 16371218 23605012 24756476 29506265 30945595 32742436 40928045 47210024 49512952 59012530 61891190 65484872 81856090 94420048 99025904 118025060 123782380 130969744 163712180 236050120 247564760 253753879 327424360 472100240 495129520 507507758 654848720 1015015516 1268769395 2030031032 2537538790 4060062064 5075077580 10150155160 20300310320