Search a number
-
+
1312134324130 = 257196714724883
BaseRepresentation
bin10011000110000001010…
…011001101111110100010
311122102211220012222122101
4103012001103031332202
5132444222341333010
62442441452201014
7163540624505560
oct23060123157642
94572756188571
101312134324130
11466522689543
1219237316916a
139697002c9a6
1447716d70a30
15241e937a73a
hex131814cdfa2

1312134324130 has 64 divisors (see below), whose sum is σ = 2883721282560. Its totient is φ = 419835835584.

The previous prime is 1312134324121. The next prime is 1312134324131. The reversal of 1312134324130 is 314234312131.

It is not an unprimeable number, because it can be changed into a prime (1312134324131) 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, 7273332 + ... + 7451551.

It is an arithmetic number, because the mean of its divisors is an integer number (45058145040).

Almost surely, 21312134324130 is an apocalyptic number.

1312134324130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312134324130 is an abundant number, since it is smaller than the sum of its proper divisors (1571586958430).

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

1312134324130 is a wasteful number, since it uses less digits than its factorization.

1312134324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14724983.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1312134324130 its reverse (314234312131), we get a palindrome (1626368636261).

The spelling of 1312134324130 in words is "one trillion, three hundred twelve billion, one hundred thirty-four million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 67 70 95 133 134 190 266 335 469 665 670 938 1273 1330 2345 2546 4690 6365 8911 12730 17822 44555 89110 14724883 29449766 73624415 103074181 147248830 206148362 279772777 515370905 559545554 986567161 1030741810 1398863885 1958409439 1973134322 2797727770 3916818878 4932835805 6905970127 9792047195 9865671610 13811940254 18744776059 19584094390 34529850635 37489552118 69059701270 93723880295 131213432413 187447760590 262426864826 656067162065 1312134324130