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1314131101304 = 23737634233157
BaseRepresentation
bin10011000111111000010…
…100010100011001111000
311122122000001111202222112
4103013320110110121320
5133012320030220204
62443411542111452
7163641252025430
oct23077024243170
94578001452875
101314131101304
1146735782480a
1219282ba1b588
1396bca919148
144786622b2c0
15242b480326e
hex131f8514678

1314131101304 has 32 divisors (see below), whose sum is σ = 2892103200480. Its totient is φ = 547977446784.

The previous prime is 1314131101303. The next prime is 1314131101399. The reversal of 1314131101304 is 4031011314131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314131101304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314131101303) 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 7 ways as a sum of consecutive naturals, for example, 317114507 + ... + 317118650.

It is an arithmetic number, because the mean of its divisors is an integer number (90378225015).

Almost surely, 21314131101304 is an apocalyptic number.

1314131101304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314131101304 is an abundant number, since it is smaller than the sum of its proper divisors (1577972099176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314131101304 is a wasteful number, since it uses less digits than its factorization.

1314131101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634233207 (or 634233203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1314131101304 its reverse (4031011314131), we get a palindrome (5345142415435).

The spelling of 1314131101304 in words is "one trillion, three hundred fourteen billion, one hundred thirty-one million, one hundred one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 634233157 1268466314 2536932628 4439632099 5073865256 8879264198 17758528396 23466626809 35517056792 46933253618 93866507236 164266387663 187733014472 328532775326 657065550652 1314131101304