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12302003012 = 221317173257313
BaseRepresentation
bin10110111010100000…
…11010101101000100
31011202100101111121012
423131100122231010
5200143303044022
65352414341352
7613566204665
oct133520325504
934670344535
1012302003012
115243183a42
122473aba858
1312108b4230
14849b9336c
154c0027de2
hex2dd41ab44

12302003012 has 96 divisors (see below), whose sum is σ = 24865499232. Its totient is φ = 5275385856.

The previous prime is 12302003011. The next prime is 12302003047. The reversal of 12302003012 is 21030020321.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 599956036 + 11702046976 = 24494^2 + 108176^2 .

It is not an unprimeable number, because it can be changed into a prime (12302003011) 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, 39303368 + ... + 39303680.

It is an arithmetic number, because the mean of its divisors is an integer number (259015617).

Almost surely, 212302003012 is an apocalyptic number.

It is an amenable number.

12302003012 is an abundant number, since it is smaller than the sum of its proper divisors (12563496220).

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

12302003012 is a wasteful number, since it uses less digits than its factorization.

12302003012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12302003012 its reverse (21030020321), we get a palindrome (33332023333).

The spelling of 12302003012 in words is "twelve billion, three hundred two million, three thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 68 173 221 257 313 346 442 514 626 692 884 1028 1252 2249 2941 3341 4069 4369 4498 5321 5882 6682 8138 8738 8996 10642 11764 13364 16276 17476 21284 38233 44461 54149 56797 69173 76466 80441 88922 108298 113594 138346 152932 160882 177844 216596 227188 276692 321764 577993 703937 755837 920533 1045733 1155986 1367497 1407874 1511674 1841066 2091466 2311972 2734994 2815748 3023348 3682132 4182932 5469988 9825881 11966929 13916293 17777461 19651762 23933858 27832586 35554922 39303524 47867716 55665172 71109844 180911809 236576981 361823618 473153962 723647236 946307924 3075500753 6151001506 12302003012