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20010023330320 = 2453741164881537
BaseRepresentation
bin1001000110010111100100…
…10101010010001000010000
32121211221100221010102222001
410203023302111102020100
510110321011433032240
6110320251112523344
74133451013643152
oct443136225221020
977757327112861
1020010023330320
116415226567501
1222b20b03b0554
13b21c24a7c41a
144d26c1534ad2
1524a78ed0189a
hex1232f2552210

20010023330320 has 80 divisors (see below), whose sum is σ = 48946073844528. Its totient is φ = 7597741178880.

The previous prime is 20010023330273. The next prime is 20010023330383. The reversal of 20010023330320 is 2303332001002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1237976670736 + 18772046659584 = 1112644^2 + 4332672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 82319409 + ... + 82562128.

Almost surely, 220010023330320 is an apocalyptic number.

20010023330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010023330320 is an abundant number, since it is smaller than the sum of its proper divisors (28936050514208).

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

20010023330320 is a wasteful number, since it uses less digits than its factorization.

20010023330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164881628 (or 164881622 counting only the distinct ones).

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

Adding to 20010023330320 its reverse (2303332001002), we get a palindrome (22313355331322).

The spelling of 20010023330320 in words is "twenty trillion, ten billion, twenty-three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 148 164 185 205 296 328 370 410 592 656 740 820 1480 1517 1640 2960 3034 3280 6068 7585 12136 15170 24272 30340 60680 121360 164881537 329763074 659526148 824407685 1319052296 1648815370 2638104592 3297630740 6100616869 6595261480 6760143017 12201233738 13190522960 13520286034 24402467476 27040572068 30503084345 33800715085 48804934952 54081144136 61006168690 67601430170 97609869904 108162288272 122012337380 135202860340 244024674760 250125291629 270405720680 488049349520 500250583258 540811441360 1000501166516 1250626458145 2001002333032 2501252916290 4002004666064 5002505832580 10005011665160 20010023330320