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12313201302 = 23231173229557
BaseRepresentation
bin10110111011110110…
…01000101010010110
31011210010110102202200
423131323020222112
5200204134420202
65353454345330
7614063325033
oct133573105226
934703412680
1012313201302
115249532426
1224777bb246
13121300533c
1484b46a38a
154c0edae1c
hex2ddec8a96

12313201302 has 96 divisors (see below), whose sum is σ = 27869287680. Its totient is φ = 3924737280.

The previous prime is 12313201301. The next prime is 12313201331. The reversal of 12313201302 is 20310231321.

12313201302 is a `hidden beast` number, since 12 + 31 + 320 + 1 + 302 = 666.

It is a super-2 number, since 2×123132013022 (a number of 21 digits) contains 22 as substring.

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 (12313201301) 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 47 ways as a sum of consecutive naturals, for example, 22106008 + ... + 22106564.

It is an arithmetic number, because the mean of its divisors is an integer number (290305080).

Almost surely, 212313201302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313201302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934643840).

12313201302 is an abundant number, since it is smaller than the sum of its proper divisors (15556086378).

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

12313201302 is a wasteful number, since it uses less digits than its factorization.

12313201302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12313201302 its reverse (20310231321), we get a palindrome (32623432623).

The spelling of 12313201302 in words is "twelve billion, three hundred thirteen million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 173 186 229 279 346 458 519 557 558 687 1038 1114 1374 1557 1671 2061 3114 3342 4122 5013 5363 7099 10026 10726 14198 16089 17267 21297 32178 34534 39617 42594 48267 51801 63891 79234 96361 96534 103602 118851 127553 127782 155403 192722 237702 255106 289083 310806 356553 382659 578166 713106 765318 867249 1147977 1228127 1734498 2295954 2456254 2987191 3684381 3954143 5974382 7368762 7908286 8961573 11053143 11862429 17923146 22066669 22106286 23724858 26884719 35587287 44133338 53769438 66200007 71174574 132400014 198600021 397200042 684066739 1368133478 2052200217 4104400434 6156600651 12313201302