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20312319 = 347712029
BaseRepresentation
bin100110101111…
…1000011111111
31102012222021010
41031133003333
520144443234
62003210303
7334436406
oct115370377
942188233
1020312319
1110513a45
126976993
134292631
1429aa63d
151bb36e9
hex135f0ff

20312319 has 16 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 13060320.

The previous prime is 20312309. The next prime is 20312351. The reversal of 20312319 is 91321302.

It is a happy number.

It is not a de Polignac number, because 20312319 - 27 = 20312191 is a prime.

It is a super-2 number, since 2×203123192 = 825180606315522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20312295 and 20312304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312309) by changing a digit.

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, 8997 + ... + 11025.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 220312319 is an apocalyptic number.

20312319 is a deficient number, since it is larger than the sum of its proper divisors (7750401).

20312319 is a wasteful number, since it uses less digits than its factorization.

20312319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 20312319 is about 4506.9190141382. The cubic root of 20312319 is about 272.8474103337.

The spelling of 20312319 in words is "twenty million, three hundred twelve thousand, three hundred nineteen".

Divisors: 1 3 47 71 141 213 2029 3337 6087 10011 95363 144059 286089 432177 6770773 20312319