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20201300431020 = 22335172200577389
BaseRepresentation
bin1001001011111011110110…
…10101100001000010101100
32122112020002100201221011000
410211331323111201002230
510121434230402243040
6110544203241000300
74153332025322652
oct445757325410254
978466070657130
1020201300431020
1164893614a0315
122323192783090
13b36c88b5c107
144dba68d32dd2
15250737583130
hex125f7b5610ac

20201300431020 has 96 divisors (see below), whose sum is σ = 66545460273600. Its totient is φ = 5070130301952.

The previous prime is 20201300430967. The next prime is 20201300431057. The reversal of 20201300431020 is 2013400310202.

20201300431020 is a `hidden beast` number, since 2 + 0 + 201 + 30 + 0 + 431 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20201300430984 and 20201300431002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100279515 + ... + 1100297874.

It is an arithmetic number, because the mean of its divisors is an integer number (693181877850).

Almost surely, 220201300431020 is an apocalyptic number.

20201300431020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201300431020 is an abundant number, since it is smaller than the sum of its proper divisors (46344159842580).

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

20201300431020 is a wasteful number, since it uses less digits than its factorization.

20201300431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200577424 (or 2200577416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20201300431020 its reverse (2013400310202), we get a palindrome (22214700741222).

The spelling of 20201300431020 in words is "twenty trillion, two hundred one billion, three hundred million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 2200577389 4401154778 6601732167 8802309556 11002886945 13203464334 19805196501 22005773890 26406928668 33008660835 37409815613 39610393002 44011547780 59415589503 66017321670 74819631226 79220786004 99025982505 112229446839 118831179006 132034643340 149639262452 187049078065 198051965010 224458893678 237662358012 297077947515 336688340517 374098156130 396103930020 448917787356 561147234195 594155895030 673376681034 748196312260 1010065021551 1122294468390 1188311790060 1346753362068 1683441702585 2020130043102 2244588936780 3366883405170 4040260086204 5050325107755 6733766810340 10100650215510 20201300431020