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312111122323 = 71121328345393
BaseRepresentation
bin1001000101010110100…
…01011100011110010011
31002211121120010210021011
410202223101130132103
520103200421403243
6355214252311351
731356255524020
oct4425321343623
91084546123234
10312111122323
11110402656800
12505a5472557
132357cccc590
141116b808547
1581baa7e89d
hex48ab45c793

312111122323 has 24 divisors (see below), whose sum is σ = 422232989024. Its totient is φ = 224495504640.

The previous prime is 312111122317. The next prime is 312111122347. The reversal of 312111122323 is 323221111213.

It is not a de Polignac number, because 312111122323 - 25 = 312111122291 is a prime.

It is a super-3 number, since 3×3121111223233 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312111122294 and 312111122303.

It is not an unprimeable number, because it can be changed into a prime (312111123323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14161686 + ... + 14183707.

Almost surely, 2312111122323 is an apocalyptic number.

312111122323 is a deficient number, since it is larger than the sum of its proper divisors (110121866701).

312111122323 is a wasteful number, since it uses less digits than its factorization.

312111122323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28345435 (or 28345424 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 312111122323 its reverse (323221111213), we get a palindrome (635332233536).

It can be divided in two parts, 312111 and 122323, that added together give a palindrome (434434).

The spelling of 312111122323 in words is "three hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 28345393 198417751 311799323 368490109 2182595261 2579430763 3429792553 4053391199 24008547871 28373738393 44587303189 312111122323