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12114301313430 = 2325197084386733
BaseRepresentation
bin1011000001001001010010…
…1000000110000110010110
31120220010010111011102221100
42300102110220012012112
53041440042114012210
641433122211530530
72360141452106241
oct260222450060626
946803114142840
1012114301313430
1139507122aa3a8
1214379babb9a46
1369b4b2078a64
142dc49a14c258
151601c295b5c0
hexb0494a06196

12114301313430 has 48 divisors (see below), whose sum is σ = 33154929915120. Its totient is φ = 3060455068224.

The previous prime is 12114301313423. The next prime is 12114301313441. The reversal of 12114301313430 is 3431310341121.

12114301313430 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 301 + 313 + 43 + 0 = 666.

It is a super-3 number, since 3×121143013134303 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12114301313394 and 12114301313403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3542191657 + ... + 3542195076.

It is an arithmetic number, because the mean of its divisors is an integer number (690727706565).

Almost surely, 212114301313430 is an apocalyptic number.

12114301313430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12114301313430 is an abundant number, since it is smaller than the sum of its proper divisors (21040628601690).

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

12114301313430 is a wasteful number, since it uses less digits than its factorization.

12114301313430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084386765 (or 7084386762 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12114301313430 its reverse (3431310341121), we get a palindrome (15545611654551).

The spelling of 12114301313430 in words is "twelve trillion, one hundred fourteen billion, three hundred one million, three hundred thirteen thousand, four 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 7084386733 14168773466 21253160199 35421933665 42506320398 63759480597 70843867330 106265800995 127518961194 134603347927 212531601990 269206695854 318797402985 403810043781 637594805970 673016739635 807620087562 1211430131343 1346033479270 2019050218905 2422860262686 4038100437810 6057150656715 12114301313430