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12323120130 = 23251920813463
BaseRepresentation
bin10110111101000001…
…11110010000000010
31011210211010100211200
423132200332100002
5200214204321010
65354451122030
7614243535636
oct133640762002
934724110750
1012323120130
115254097602
12247aba3316
131215098c79
1484c8ccdc6
154c1ce9cc0
hex2de83e402

12323120130 has 96 divisors (see below), whose sum is σ = 33752384640. Its totient is φ = 3110814720.

The previous prime is 12323120107. The next prime is 12323120207. The reversal of 12323120130 is 3102132321.

It is a super-2 number, since 2×123231201302 (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 Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3556779 + ... + 3560241.

It is an arithmetic number, because the mean of its divisors is an integer number (351587340).

Almost surely, 212323120130 is an apocalyptic number.

12323120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876192320).

12323120130 is an abundant number, since it is smaller than the sum of its proper divisors (21429264510).

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

12323120130 is a wasteful number, since it uses less digits than its factorization.

12323120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5573 counting only the distinct ones).

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

Adding to 12323120130 its reverse (3102132321), we get a palindrome (15425252451).

The spelling of 12323120130 in words is "twelve billion, three hundred twenty-three million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2081 3463 4162 6243 6926 10389 10405 12486 17315 18729 20778 20810 31167 31215 34630 37458 39539 51945 62334 62430 65797 79078 93645 103890 118617 131594 155835 187290 197391 197695 237234 311670 328985 355851 394782 395390 592173 593085 657970 711702 986955 1184346 1186170 1779255 1973910 2960865 3558510 5921730 7206503 14413006 21619509 36032515 43239018 64858527 72065030 108097545 129717054 136923557 216195090 273847114 324292635 410770671 648585270 684617785 821541342 1232312013 1369235570 2053853355 2464624026 4107706710 6161560065 12323120130