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302144131311 = 31131377982461
BaseRepresentation
bin1000110010110010011…
…00011001000011101111
31001212212221111011221220
410121121030121003233
514422242344200221
6350445245154423
730554261512131
oct4313114310357
91055787434856
10302144131311
11107158537950
124a68355ba13
13226520cb869
14108a3bd9051
157cd5a420c6
hex46593190ef

302144131311 has 32 divisors (see below), whose sum is σ = 465920342016. Its totient is φ = 172421136000.

The previous prime is 302144131309. The next prime is 302144131343. The reversal of 302144131311 is 113131441203.

It is a happy number.

It is not a de Polignac number, because 302144131311 - 21 = 302144131309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302144131301) 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 31 ways as a sum of consecutive naturals, for example, 3953380 + ... + 4029081.

It is an arithmetic number, because the mean of its divisors is an integer number (14560010688).

Almost surely, 2302144131311 is an apocalyptic number.

302144131311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

302144131311 is a deficient number, since it is larger than the sum of its proper divisors (163776210705).

302144131311 is a wasteful number, since it uses less digits than its factorization.

302144131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982543.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 302144131311 its reverse (113131441203), we get a palindrome (415275572514).

The spelling of 302144131311 in words is "three hundred two billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 11 31 33 37 93 111 341 407 1023 1147 1221 3441 12617 37851 7982461 23947383 87807071 247456291 263421213 295351057 742368873 886053171 2722019201 3248861627 8166057603 9155882767 9746584881 27467648301 100714710437 302144131311