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312042351241541 = 171071087157816097
BaseRepresentation
bin100011011110011010000010…
…1100000000010100101000101
31111220211221211222100200012002
41012330310011200002211011
5311400000213404212131
63023354135512235045
7122504213233223024
oct10674640540024505
91456757758320162
10312042351241541
1190476466391998
122abb7a9409ba85
131051661002062b
14570ad04d8c8bb
152611e0e8aa6cb
hex11bcd05802945

312042351241541 has 16 divisors (see below), whose sum is σ = 333792410029056. Its totient is φ = 290674523314176.

The previous prime is 312042351241477. The next prime is 312042351241547. The reversal of 312042351241541 is 145142153240213.

It is a cyclic number.

It is not a de Polignac number, because 312042351241541 - 26 = 312042351241477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312042351241495 and 312042351241504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312042351241547) 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, 76930796 + ... + 80885301.

It is an arithmetic number, because the mean of its divisors is an integer number (20862025626816).

Almost surely, 2312042351241541 is an apocalyptic number.

It is an amenable number.

312042351241541 is a deficient number, since it is larger than the sum of its proper divisors (21750058787515).

312042351241541 is a wasteful number, since it uses less digits than its factorization.

312042351241541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157817308.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 312042351241541 in words is "three hundred twelve trillion, forty-two billion, three hundred fifty-one million, two hundred forty-one thousand, five hundred forty-one".

Divisors: 1 17 107 1087 1819 18479 116309 1977253 157816097 2682873649 16886322379 171546097439 287067480443 2916283656463 18355432425973 312042351241541