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312142441121241 = 3314677187088511
BaseRepresentation
bin100011011111001000101001…
…1010100101000010111011001
31111221012112012102010101012120
41012332101103110220113121
5311403120204411334431
63023512131405531453
7122514355451163333
oct10676212324502731
91457175172111176
10312142441121241
1190504958526a35
122b013367b73b89
1310522ba133c313
145711abbd28453
15261481b94b196
hex11be4535285d9

312142441121241 has 16 divisors (see below), whose sum is σ = 430535350222848. Its totient is φ = 200950994739600.

The previous prime is 312142441121239. The next prime is 312142441121257. The reversal of 312142441121241 is 142121144241213.

It is not a de Polignac number, because 312142441121241 - 21 = 312142441121239 is a prime.

It is a super-2 number, since 2×3121424411212412 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312142441121221) 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, 3593500825 + ... + 3593587686.

It is an arithmetic number, because the mean of its divisors is an integer number (26908459388928).

Almost surely, 2312142441121241 is an apocalyptic number.

312142441121241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312142441121241 is a deficient number, since it is larger than the sum of its proper divisors (118392909101607).

312142441121241 is a wasteful number, since it uses less digits than its factorization.

312142441121241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187089012.

The product of its digits is 12288, while the sum is 33.

Adding to 312142441121241 its reverse (142121144241213), we get a palindrome (454263585362454).

The spelling of 312142441121241 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred forty-one million, one hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 31 93 467 1401 14477 43431 7187088511 21561265533 222799743841 668399231523 3356370334637 10069111003911 104047480373747 312142441121241