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20312127 = 361117149
BaseRepresentation
bin100110101111…
…1000000111111
31102012222000000
41031133000333
520144442002
62003205343
7334436013
oct115370077
942188000
1020312127
1110513890
126976853
134292514
1429aa543
151bb361c
hex135f03f

20312127 has 56 divisors (see below), whose sum is σ = 35413200. Its totient is φ = 11508480.

The previous prime is 20312113. The next prime is 20312137. The reversal of 20312127 is 72121302.

It is not a de Polignac number, because 20312127 - 24 = 20312111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312137) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 136249 + ... + 136397.

Almost surely, 220312127 is an apocalyptic number.

20312127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20312127 is a deficient number, since it is larger than the sum of its proper divisors (15101073).

20312127 is a wasteful number, since it uses less digits than its factorization.

20312127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20312127 is about 4506.8977135054. The cubic root of 20312127 is about 272.8465506441.

Adding to 20312127 its reverse (72121302), we get a palindrome (92433429).

The spelling of 20312127 in words is "twenty million, three hundred twelve thousand, one hundred twenty-seven".

Divisors: 1 3 9 11 17 27 33 51 81 99 149 153 187 243 297 447 459 561 729 891 1341 1377 1639 1683 2533 2673 4023 4131 4917 5049 7599 8019 12069 12393 14751 15147 22797 27863 36207 44253 45441 68391 83589 108621 132759 136323 205173 250767 398277 615519 752301 1194831 1846557 2256903 6770709 20312127