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20120312331 = 337215208097
BaseRepresentation
bin10010101111010000…
…111001101000001011
31220221012220202202000
4102233100321220023
5312201244443311
613124304042043
71311412555500
oct225720715013
956835822660
1020120312331
1185954344a9
123a96303323
131b885b0a72
14d8c2834a7
157cb5d4056
hex4af439a0b

20120312331 has 24 divisors (see below), whose sum is σ = 34674463440. Its totient is φ = 11497320576.

The previous prime is 20120312291. The next prime is 20120312369. The reversal of 20120312331 is 13321302102.

20120312331 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 312 + 331 = 666.

It is not a de Polignac number, because 20120312331 - 29 = 20120311819 is a prime.

It is a super-2 number, since 2×201203123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20120312231) 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 23 ways as a sum of consecutive naturals, for example, 7602726 + ... + 7605371.

It is an arithmetic number, because the mean of its divisors is an integer number (1444769310).

Almost surely, 220120312331 is an apocalyptic number.

20120312331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20120312331 is a deficient number, since it is larger than the sum of its proper divisors (14554151109).

20120312331 is a wasteful number, since it uses less digits than its factorization.

20120312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208120 (or 15208107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20120312331 its reverse (13321302102), we get a palindrome (33441614433).

The spelling of 20120312331 in words is "twenty billion, one hundred twenty million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 15208097 45624291 106456679 136872873 319370037 410618619 745196753 958110111 2235590259 2874330333 6706770777 20120312331