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312113121231 = 3313790704191
BaseRepresentation
bin1001000101010110110…
…01000100011111001111
31002211121200220100020210
410202223121010133033
520103201424334411
6355214403213503
731356311520522
oct4425331043717
91084550810223
10312113121231
111104037a159a
12505a6077293
132358054c372
141116bba8bb9
1581bad26ca6
hex48ab6447cf

312113121231 has 16 divisors (see below), whose sum is σ = 441185189888. Its totient is φ = 195921050400.

The previous prime is 312113121227. The next prime is 312113121241. The reversal of 312113121231 is 132121311213.

312113121231 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312113121231 - 22 = 312113121227 is a prime.

It is a super-2 number, since 2×3121131212312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312113121198 and 312113121207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113121241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45348655 + ... + 45355536.

It is an arithmetic number, because the mean of its divisors is an integer number (27574074368).

Almost surely, 2312113121231 is an apocalyptic number.

312113121231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312113121231 is a deficient number, since it is larger than the sum of its proper divisors (129072068657).

312113121231 is a wasteful number, since it uses less digits than its factorization.

312113121231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90704262.

The product of its digits is 216, while the sum is 21.

Adding to 312113121231 its reverse (132121311213), we get a palindrome (444234432444).

The spelling of 312113121231 in words is "three hundred twelve billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 31 37 93 111 1147 3441 90704191 272112573 2811829921 3356055067 8435489763 10068165201 104037707077 312113121231