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1321304031231 = 3173741101169093
BaseRepresentation
bin10011001110100011110…
…110110111111111111111
311200022111221122101000220
4103032203312313333333
5133122012312444411
62450555414552423
7164314100645532
oct23164366677777
94608457571026
101321304031231
1146a3a8752178
121940b2068713
13977a19bbb92
1447d46b20a19
15245843cab06
hex133a3db7fff

1321304031231 has 64 divisors (see below), whose sum is σ = 1981954832256. Its totient is φ = 779175936000.

The previous prime is 1321304031193. The next prime is 1321304031319.

1321304031231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1321304031231 - 211 = 1321304029183 is a prime.

It is a super-2 number, since 2×13213040312312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321304081231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7729521 + ... + 7898613.

It is an arithmetic number, because the mean of its divisors is an integer number (30968044254).

Almost surely, 21321304031231 is an apocalyptic number.

1321304031231 is a deficient number, since it is larger than the sum of its proper divisors (660650801025).

1321304031231 is a wasteful number, since it uses less digits than its factorization.

1321304031231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169292.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 1321304031231 in words is "one trillion, three hundred twenty-one billion, three hundred four million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 17 37 41 51 101 111 123 303 629 697 1517 1717 1887 2091 3737 4141 4551 5151 11211 12423 25789 63529 70397 77367 153217 169093 190587 211191 459651 507279 2604689 2874581 6256441 6932813 7814067 8623743 17078393 18769323 20798439 51235179 106359497 117857821 256514081 290332681 319078491 353573463 631900541 700214113 769542243 870998043 1895701623 2100642339 4360739377 10742309197 11903639921 13082218131 25907922181 32226927591 35710919763 77723766543 440434677077 1321304031231