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13313110302 = 232477322953
BaseRepresentation
bin11000110011000010…
…11111000100011110
31021100210222002001100
430121201133010132
5204231124012202
610041014053530
7650624366442
oct143141370436
937323862040
1013313110302
1157119a38a8
1226b664a2a6
13134220cc7b
14904192822
1552dba041c
hex31985f11e

13313110302 has 72 divisors (see below), whose sum is σ = 29877984864. Its totient is φ = 4282336512.

The previous prime is 13313110289. The next prime is 13313110303. The reversal of 13313110302 is 20301131331.

It is a happy number.

13313110302 is a `hidden beast` number, since 1 + 331 + 31 + 1 + 0 + 302 = 666.

13313110302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313110303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4506858 + ... + 4509810.

It is an arithmetic number, because the mean of its divisors is an integer number (414972012).

Almost surely, 213313110302 is an apocalyptic number.

13313110302 is an abundant number, since it is smaller than the sum of its proper divisors (16564874562).

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

13313110302 is a wasteful number, since it uses less digits than its factorization.

13313110302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3078 counting only the distinct ones).

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

Adding to 13313110302 its reverse (20301131331), we get a palindrome (33614241633).

The spelling of 13313110302 in words is "thirteen billion, three hundred thirteen million, one hundred ten thousand, three hundred two".

Divisors: 1 2 3 6 9 18 47 73 94 141 146 219 282 423 438 657 846 1314 2953 3431 5329 5906 6862 8859 10293 10658 15987 17718 20586 26577 30879 31974 47961 53154 61758 95922 138791 215569 250463 277582 416373 431138 500926 646707 751389 832746 1249119 1293414 1502778 1940121 2254167 2498238 3880242 4508334 10131743 15736537 20263486 30395229 31473074 47209611 60790458 91185687 94419222 141628833 182371374 283257666 739617239 1479234478 2218851717 4437703434 6656555151 13313110302