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20332300310301 = 373131232412151
BaseRepresentation
bin1001001111101111110111…
…00010011001011100011101
32122222202012222010022021210
410213313323202121130131
510131111022334412201
6111124310235015033
74165650233036160
oct447677342313435
978882188108253
1020332300310301
116529975510561
12234465229a479
13b46434c2ab95
14504135117ad7
15253d530a21d6
hex127dfb89971d

20332300310301 has 16 divisors (see below), whose sum is σ = 31981990043648. Its totient is φ = 11243668374000.

The previous prime is 20332300310291. The next prime is 20332300310317. The reversal of 20332300310301 is 10301300323302.

It is not a de Polignac number, because 20332300310301 - 214 = 20332300293917 is a prime.

It is a super-2 number, since 2×203323003103012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332300310351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15616205425 + ... + 15616206726.

It is an arithmetic number, because the mean of its divisors is an integer number (1998874377728).

Almost surely, 220332300310301 is an apocalyptic number.

20332300310301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20332300310301 is a deficient number, since it is larger than the sum of its proper divisors (11649689733347).

20332300310301 is a wasteful number, since it uses less digits than its factorization.

20332300310301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31232412192.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 20332300310301 its reverse (10301300323302), we get a palindrome (30633600633603).

The spelling of 20332300310301 in words is "twenty trillion, three hundred thirty-two billion, three hundred million, three hundred ten thousand, three hundred one".

Divisors: 1 3 7 21 31 93 217 651 31232412151 93697236453 218626885057 655880655171 968204776681 2904614330043 6777433436767 20332300310301