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20212314404319 = 335383170176003
BaseRepresentation
bin1001001100010000010111…
…10100011111010111011111
32122120021111221110202011000
410212020023310133113133
510122124304441414234
6110553224204401343
74154201664464202
oct446101364372737
978507457422130
1020212314404319
116492aa3602494
122325347246253
13b3802293998b
144dc3d19dd939
15250b7e482899
hex12620bd1f5df

20212314404319 has 32 divisors (see below), whose sum is σ = 30876734165760. Its totient is φ = 13061348505504.

The previous prime is 20212314404311. The next prime is 20212314404333. The reversal of 20212314404319 is 91340441321202.

20212314404319 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 231 + 4 + 404 + 3 + 19 = 666.

It is not a de Polignac number, because 20212314404319 - 23 = 20212314404311 is a prime.

It is a super-2 number, since 2×202123144043192 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212314404311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84969229 + ... + 85206774.

It is an arithmetic number, because the mean of its divisors is an integer number (964897942680).

Almost surely, 220212314404319 is an apocalyptic number.

20212314404319 is a deficient number, since it is larger than the sum of its proper divisors (10664419761441).

20212314404319 is a wasteful number, since it uses less digits than its factorization.

20212314404319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170176148 (or 170176142 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20212314404319 in words is "twenty trillion, two hundred twelve billion, three hundred fourteen million, four hundred four thousand, three hundred nineteen".

Divisors: 1 3 9 27 53 83 159 249 477 747 1431 2241 4399 13197 39591 118773 170176003 510528009 1531584027 4594752081 9019328159 14124608249 27057984477 42373824747 81173953431 127121474241 243521860293 381364422723 748604237197 2245812711591 6737438134773 20212314404319