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312171616041 = 3181922162347
BaseRepresentation
bin1001000101011101110…
…00001101011100101001
31002211202202222012001020
410202232320031130221
520103311413203131
6355224253043053
731360621645365
oct4425670153451
91084682865036
10312171616041
1111043381460a
1250601786489
132358c6c018c
14111758742a5
1581c102d996
hex48aee0d729

312171616041 has 16 divisors (see below), whose sum is σ = 418580530368. Its totient is φ = 206938843200.

The previous prime is 312171616013. The next prime is 312171616117. The reversal of 312171616041 is 140616171213.

It is not a de Polignac number, because 312171616041 - 27 = 312171615913 is a prime.

It is a super-2 number, since 2×3121716160412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312171615993 and 312171616011.

It is not an unprimeable number, because it can be changed into a prime (312176616041) 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 15 ways as a sum of consecutive naturals, for example, 4975830 + ... + 5038176.

It is an arithmetic number, because the mean of its divisors is an integer number (26161283148).

Almost surely, 2312171616041 is an apocalyptic number.

It is an amenable number.

312171616041 is a deficient number, since it is larger than the sum of its proper divisors (106408914327).

312171616041 is a wasteful number, since it uses less digits than its factorization.

312171616041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71752.

The product of its (nonzero) digits is 6048, while the sum is 33.

Adding to 312171616041 its reverse (140616171213), we get a palindrome (452787787254).

The spelling of 312171616041 in words is "three hundred twelve billion, one hundred seventy-one million, six hundred sixteen thousand, forty-one".

Divisors: 1 3 181 543 9221 27663 62347 187041 1669001 5007003 11284807 33854421 574901687 1724705061 104057205347 312171616041