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3132420242313 = 337167168982049
BaseRepresentation
bin101101100101010010110…
…010111011101110001001
3102002110022202022120101010
4231211102302323232021
5402310144040223223
610355003004514133
7442211202513345
oct55452262735611
912073282276333
103132420242313
11aa84a762376a
1242710124b949
13199502c59b7b
14ab8779b0625
1556734ccb393
hex2d952cbbb89

3132420242313 has 16 divisors (see below), whose sum is σ = 4315125628800. Its totient is φ = 2019673437696.

The previous prime is 3132420242291. The next prime is 3132420242317.

It is a happy number.

3132420242313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3132420242313 - 210 = 3132420241289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3132420242317) 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, 84472488 + ... + 84509561.

It is an arithmetic number, because the mean of its divisors is an integer number (269695351800).

Almost surely, 23132420242313 is an apocalyptic number.

It is an amenable number.

3132420242313 is a deficient number, since it is larger than the sum of its proper divisors (1182705386487).

3132420242313 is a wasteful number, since it uses less digits than its factorization.

3132420242313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168982256.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3132420 and 242313, that added together give a palindrome (3374733).

The spelling of 3132420242313 in words is "three trillion, one hundred thirty-two billion, four hundred twenty million, two hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 37 111 167 501 6179 18537 168982049 506946147 6252335813 18757007439 28220002183 84660006549 1044140080771 3132420242313