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312141203223041 = 3115281965888869
BaseRepresentation
bin100011011111001000000100…
…1100010011011001000000001
31111221012102000010210122010002
41012332100021202123020001
5311403110141011114131
63023511404505245345
7122514313000212563
oct10676201142331001
91457172003718102
10312141203223041
1190504382795775
122b013081493855
1310522a34a38b8a
145711a01771333
152614797e266cb
hex11be40989b201

312141203223041 has 8 divisors (see below), whose sum is σ = 322212387628800. Its totient is φ = 302070150900720.

The previous prime is 312141203223023. The next prime is 312141203223043. The reversal of 312141203223041 is 140322302141213.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312141203223041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312141203222995 and 312141203223013.

It is not an unprimeable number, because it can be changed into a prime (312141203223043) 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 7 ways as a sum of consecutive naturals, for example, 28207046 + ... + 37681823.

It is an arithmetic number, because the mean of its divisors is an integer number (40276548453600).

Almost surely, 2312141203223041 is an apocalyptic number.

312141203223041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312141203223041 is a deficient number, since it is larger than the sum of its proper divisors (10071184405759).

312141203223041 is a wasteful number, since it uses less digits than its factorization.

312141203223041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66041719.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 312141203223041 its reverse (140322302141213), we get a palindrome (452463505364254).

The spelling of 312141203223041 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred three million, two hundred twenty-three thousand, forty-one".

Divisors: 1 31 152819 4737389 65888869 2042554939 10069071071711 312141203223041