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20300501320 = 23511478271187
BaseRepresentation
bin10010111010000000…
…010001000101001000
31221101202222022120021
4102322000101011020
5313033412020240
613154222110224
71316031262021
oct227200210510
957352868507
1020300501320
118678116120
123b2671b374
131bb6a1c978
14da8189c48
157dc32854a
hex4ba011148

20300501320 has 128 divisors (see below), whose sum is σ = 50993141760. Its totient is φ = 7210120960.

The previous prime is 20300501297. The next prime is 20300501327. The reversal of 20300501320 is 2310500302.

It is a super-2 number, since 2×203005013202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20300501294 and 20300501303.

It is not an unprimeable number, because it can be changed into a prime (20300501327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17101767 + ... + 17102953.

It is an arithmetic number, because the mean of its divisors is an integer number (398383920).

Almost surely, 220300501320 is an apocalyptic number.

20300501320 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 20300501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25496570880).

20300501320 is an abundant number, since it is smaller than the sum of its proper divisors (30692640440).

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

20300501320 is a wasteful number, since it uses less digits than its factorization.

20300501320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The spelling of 20300501320 in words is "twenty billion, three hundred million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 827 940 1034 1187 1654 1880 2068 2374 2585 3308 4135 4136 4748 5170 5935 6616 8270 9097 9496 10340 11870 13057 16540 18194 20680 23740 26114 33080 36388 38869 45485 47480 52228 55789 65285 72776 77738 90970 104456 111578 130570 155476 181940 194345 223156 261140 278945 310952 363880 388690 427559 446312 522280 557890 613679 777380 855118 981649 1115780 1227358 1554760 1710236 1963298 2137795 2231560 2454716 3068395 3420472 3926596 4275590 4908245 4909432 6136790 7853192 8551180 9816490 10798139 12273580 17102360 19632980 21596278 24547160 39265960 43192556 46137503 53990695 86385112 92275006 107981390 184550012 215962780 230687515 369100024 431925560 461375030 507512533 922750060 1015025066 1845500120 2030050132 2537562665 4060100264 5075125330 10150250660 20300501320