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312323313332231 = 19412815479260411
BaseRepresentation
bin100011100000011100111000…
…0001001010111000000000111
31111221211211001201002200222222
41013000321300021113000013
5311414101121203112411
63024131203245042555
7122533420600462535
oct10700716011270007
91457754051080888
10312323313332231
1190574634140143
122b04242585645b
1310536c6789a736
14571a7598c9155
1526193a59e24db
hex11c0e70257007

312323313332231 has 32 divisors (see below), whose sum is σ = 338041442188800. Its totient is φ = 287587637568000.

The previous prime is 312323313332201. The next prime is 312323313332389. The reversal of 312323313332231 is 132233313323213.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 312323313332231 - 234 = 312306133463047 is a prime.

It is a super-2 number, since 2×3123233133322312 (a number of 30 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 = 312323313332191 and 312323313332200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312323313332201) 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 31 ways as a sum of consecutive naturals, for example, 1199217416 + ... + 1199477826.

It is an arithmetic number, because the mean of its divisors is an integer number (10563795068400).

Almost surely, 2312323313332231 is an apocalyptic number.

312323313332231 is a deficient number, since it is larger than the sum of its proper divisors (25718128856569).

312323313332231 is a wasteful number, since it uses less digits than its factorization.

312323313332231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266231.

The product of its digits is 104976, while the sum is 35.

Adding to 312323313332231 its reverse (132233313323213), we get a palindrome (444556626655444).

The spelling of 312323313332231 in words is "three hundred twelve trillion, three hundred twenty-three billion, three hundred thirteen million, three hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 19 41 281 779 5339 5479 11521 104101 218899 224639 260411 1539599 4268141 4947809 10676851 29252381 63123559 73175491 202860169 1199347621 1390334329 1426791869 3000195131 27109045511 57003707489 58498466629 400928515189 1111470865951 7617641788591 16438069122749 312323313332231