Search a number
-
+
1312201221303 = 371801231115013
BaseRepresentation
bin10011000110000101010…
…010011010010010110111
311122110000120002201022110
4103012011102122102313
5132444342003040203
62442452242102103
7163542366230220
oct23060522322267
94573016081273
101312201221303
11466557420365
1219239164a933
1396980b5310b
1447721bc6247
1524200191d03
hex1318549a4b7

1312201221303 has 32 divisors (see below), whose sum is σ = 2001653988352. Its totient is φ = 749038752000.

The previous prime is 1312201221271. The next prime is 1312201221311. The reversal of 1312201221303 is 3031221022131.

It is not a de Polignac number, because 1312201221303 - 25 = 1312201221271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312201221303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312201221313) 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, 87396825 + ... + 87411837.

It is an arithmetic number, because the mean of its divisors is an integer number (62551687136).

Almost surely, 21312201221303 is an apocalyptic number.

1312201221303 is a deficient number, since it is larger than the sum of its proper divisors (689452767049).

1312201221303 is a wasteful number, since it uses less digits than its factorization.

1312201221303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19135.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1312201221303 its reverse (3031221022131), we get a palindrome (4343422243434).

The spelling of 1312201221303 in words is "one trillion, three hundred twelve billion, two hundred one million, two hundred twenty-one thousand, three hundred three".

Divisors: 1 3 7 21 1801 2311 5403 6933 12607 15013 16177 37821 45039 48531 105091 315273 4162111 12486333 27038413 29134777 34695043 81115239 87404331 104085129 189268891 242865301 567806673 728595903 62485772443 187457317329 437400407101 1312201221303