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312130235252441 = 1729633124209437
BaseRepresentation
bin100011011111000010111101…
…1110010111011111011011001
31111221011100200202121222221202
41012332011323302323323121
5311402420210211034231
63023502352303443545
7122513444130050114
oct10676057362737331
91457140622558852
10312130235252441
11904aa764644061
122b010b202b65b5
13105219a7647148
145711280c3b57b
1526143550b25cb
hex11be17bcbbed9

312130235252441 has 8 divisors (see below), whose sum is σ = 341887073096520. Its totient is φ = 283639645827328.

The previous prime is 312130235252359. The next prime is 312130235252461. The reversal of 312130235252441 is 144252532031213.

It can be written as a sum of positive squares in 4 ways, for example, as 8539860668416 + 303590374584025 = 2922304^2 + 17423845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312130235252441 - 242 = 307732188741337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312130235252395 and 312130235252404.

It is not an unprimeable number, because it can be changed into a prime (312130235252461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316562104226 + ... + 316562105211.

It is an arithmetic number, because the mean of its divisors is an integer number (42735884137065).

Almost surely, 2312130235252441 is an apocalyptic number.

It is an amenable number.

312130235252441 is a deficient number, since it is larger than the sum of its proper divisors (29756837844079).

312130235252441 is a wasteful number, since it uses less digits than its factorization.

312130235252441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633124209483.

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 312130235252441 its reverse (144252532031213), we get a palindrome (456382767283654).

The spelling of 312130235252441 in words is "three hundred twelve trillion, one hundred thirty billion, two hundred thirty-five million, two hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 17 29 493 633124209437 10763111560429 18360602073673 312130235252441