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12305206530 = 236512713291
BaseRepresentation
bin10110111010111001…
…01000110100000010
31011202120102021000000
423131130220310002
5200200113102110
65353011140430
7613635346461
oct133534506402
934676367000
1012305206530
115244a71881
122474ba4716
1312114663c6
1484a3889d8
154c045c1c0
hex2dd728d02

12305206530 has 112 divisors (see below), whose sum is σ = 33472871424. Its totient is φ = 3255305760.

The previous prime is 12305206523. The next prime is 12305206541. The reversal of 12305206530 is 3560250321.

12305206530 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 5 + 2 + 0 + 653 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12305206494 and 12305206503.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 919185 + ... + 932475.

Almost surely, 212305206530 is an apocalyptic number.

12305206530 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 12305206530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736435712).

12305206530 is an abundant number, since it is smaller than the sum of its proper divisors (21167664894).

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

12305206530 is a wasteful number, since it uses less digits than its factorization.

12305206530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 12305206530 its reverse (3560250321), we get a palindrome (15865456851).

The spelling of 12305206530 in words is "twelve billion, three hundred five million, two hundred six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 243 254 270 381 405 486 635 729 762 810 1143 1215 1270 1458 1905 2286 2430 3429 3645 3810 5715 6858 7290 10287 11430 13291 17145 20574 26582 30861 34290 39873 51435 61722 66455 79746 92583 102870 119619 132910 154305 185166 199365 239238 308610 358857 398730 462915 598095 717714 925830 1076571 1196190 1687957 1794285 2153142 3229713 3375914 3588570 5063871 5382855 6459426 8439785 9689139 10127742 10765710 15191613 16148565 16879570 19378278 25319355 30383226 32297130 45574839 48445695 50638710 75958065 91149678 96891390 136724517 151916130 227874195 273449034 410173551 455748390 683622585 820347102 1230520653 1367245170 2050867755 2461041306 4101735510 6152603265 12305206530