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20300300323020 = 22325673559472963
BaseRepresentation
bin1001001110110100010000…
…01100001000100011001100
32122212200121211111112010200
410213122020030020203030
510130100003340314040
6111101455040133500
74163435236450464
oct447321014104314
978780554445120
1020300300323020
116517344339483
12233a401607290
13b434053c4473
1450277b218ba4
152530cdab9630
hex1276883088cc

20300300323020 has 144 divisors (see below), whose sum is σ = 62514338315520. Its totient is φ = 5331106585728.

The previous prime is 20300300323001. The next prime is 20300300323063. The reversal of 20300300323020 is 2032300300302.

20300300323020 is a `hidden beast` number, since 2 + 0 + 30 + 0 + 300 + 32 + 302 + 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 = 20300300322984 and 20300300323002.

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 47 ways as a sum of consecutive naturals, for example, 42685059 + ... + 43158021.

Almost surely, 220300300323020 is an apocalyptic number.

20300300323020 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 20300300323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31257169157760).

20300300323020 is an abundant number, since it is smaller than the sum of its proper divisors (42214037992500).

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

20300300323020 is a wasteful number, since it uses less digits than its factorization.

20300300323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476604 (or 476599 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20300300323020 its reverse (2032300300302), we get a palindrome (22332600623322).

The spelling of 20300300323020 in words is "twenty trillion, three hundred billion, three hundred million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 3559 4020 6030 7118 10677 12060 14236 17795 21354 32031 35590 42708 53385 64062 71180 106770 128124 160155 213540 238453 320310 472963 476906 640620 715359 945926 953812 1192265 1418889 1430718 1891852 2146077 2364815 2384530 2837778 2861436 3576795 4256667 4292154 4729630 4769060 5675556 7094445 7153590 8513334 8584308 9459260 10730385 14188890 14307180 17026668 21283335 21460770 28377780 31688521 42566670 42921540 63377042 85133340 95065563 126754084 158442605 190131126 285196689 316885210 380262252 475327815 570393378 633770420 950655630 1140786756 1425983445 1683275317 1901311260 2851966890 3366550634 5049825951 5703933780 6733101268 8416376585 10099651902 15149477853 16832753170 20199303804 25249129755 30298955706 33665506340 50498259510 60597911412 75747389265 100996519020 112779446239 151494778530 225558892478 302989557060 338338338717 451117784956 563897231195 676676677434 1015015016151 1127794462390 1353353354868 1691691693585 2030030032302 2255588924780 3383383387170 4060060064604 5075075080755 6766766774340 10150150161510 20300300323020