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312211302401041 = 17283569114051499
BaseRepresentation
bin100011011111101000101101…
…1110001100100010000010001
31111221110002221110202211121221
41012333101123301210100101
5311410232221403313131
63024003520422045041
7122522344060332121
oct10677213361442021
91457402843684557
10312211302401041
119053108496772a
122b024785579781
1310529526899b24
145715171602c81
1526164ec0c8411
hex11bf45bc64411

312211302401041 has 16 divisors (see below), whose sum is σ = 332327822760000. Its totient is φ = 292293003898368.

The previous prime is 312211302401021. The next prime is 312211302401059. The reversal of 312211302401041 is 140104203112213.

It is not a de Polignac number, because 312211302401041 - 231 = 312209154917393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312211302400997 and 312211302401015.

It is not an unprimeable number, because it can be changed into a prime (312211302401021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54288291 + ... + 59763208.

It is an arithmetic number, because the mean of its divisors is an integer number (20770488922500).

Almost surely, 2312211302401041 is an apocalyptic number.

It is an amenable number.

312211302401041 is a deficient number, since it is larger than the sum of its proper divisors (20116520358959).

312211302401041 is a wasteful number, since it uses less digits than its factorization.

312211302401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114052368.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 312211302401041 its reverse (140104203112213), we get a palindrome (452315505513254).

The spelling of 312211302401041 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred two million, four hundred one thousand, forty-one".

Divisors: 1 17 283 569 4811 9673 161027 2737459 114051499 1938875483 32276574217 64895302931 548701761689 1103220149827 18365370729473 312211302401041