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1303320010311 = 331140739107717
BaseRepresentation
bin10010111101110011111…
…011010001111001000111
311121121002121112110012000
4102331303323101321013
5132323144410312221
62434423103000343
7163106325204624
oct22756373217107
94547077473160
101303320010311
1146280a194070
121907132990b3
1395b96b94797
144711c49334b
1523d8062be26
hex12f73ed1e47

1303320010311 has 32 divisors (see below), whose sum is σ = 2106447033600. Its totient is φ = 789864193440.

The previous prime is 1303320010207. The next prime is 1303320010327. The reversal of 1303320010311 is 1130100233031.

It is a happy number.

1303320010311 is a `hidden beast` number, since 1 + 30 + 3 + 320 + 0 + 1 + 0 + 311 = 666.

It is not a de Polignac number, because 1303320010311 - 29 = 1303320009799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303320010351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12045625 + ... + 12153341.

It is an arithmetic number, because the mean of its divisors is an integer number (65826469800).

Almost surely, 21303320010311 is an apocalyptic number.

1303320010311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303320010311 is a deficient number, since it is larger than the sum of its proper divisors (803127023289).

1303320010311 is a wasteful number, since it uses less digits than its factorization.

1303320010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148476 (or 148470 counting only the distinct ones).

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

Adding to 1303320010311 its reverse (1130100233031), we get a palindrome (2433420243342).

The spelling of 1303320010311 in words is "one trillion, three hundred three billion, three hundred twenty million, ten thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 40739 107717 122217 323151 366651 448129 969453 1099953 1184887 1344387 2908359 3554661 4033161 10663983 12099483 31991949 4388282863 13164848589 39494545767 48271111493 118483637301 144813334479 434440003437 1303320010311