Search a number
-
+
1300320311301 = 321127148466969
BaseRepresentation
bin10010111011000001001…
…000010101100000000101
311121022100120001221201200
4102323001020111200011
5132301023444430201
62433205305013113
7162642102164514
oct22730110254005
94538316057650
101300320311301
1146150aa09880
12190016784199
139580958725b
1446d15d2867b
1523c570e7386
hex12ec1215805

1300320311301 has 24 divisors (see below), whose sum is σ = 2056550471040. Its totient is φ = 785164881600.

The previous prime is 1300320311293. The next prime is 1300320311321. The reversal of 1300320311301 is 1031130230031.

It is a happy number.

1300320311301 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 320 + 311 + 30 + 1 = 666.

It is not a de Polignac number, because 1300320311301 - 23 = 1300320311293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300320311321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24206656 + ... + 24260313.

It is an arithmetic number, because the mean of its divisors is an integer number (85689602960).

Almost surely, 21300320311301 is an apocalyptic number.

1300320311301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1300320311301 is a deficient number, since it is larger than the sum of its proper divisors (756230159739).

1300320311301 is a wasteful number, since it uses less digits than its factorization.

1300320311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48467257 (or 48467254 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1300320311301 its reverse (1031130230031), we get a palindrome (2331450541332).

The spelling of 1300320311301 in words is "one trillion, three hundred billion, three hundred twenty million, three hundred eleven thousand, three hundred one".

Divisors: 1 3 9 11 33 99 271 813 2439 2981 8943 26829 48466969 145400907 436202721 533136659 1599409977 4798229931 13134548599 39403645797 118210937391 144480034589 433440103767 1300320311301