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12430011330 = 2395115741
BaseRepresentation
bin10111001001110001…
…01110101111000010
31012002021021000000000
423210320232233002
5200424040330310
65413230140430
7620012232042
oct134470565702
935067230000
1012430011330
1152a9465540
1224aa951716
1312312832b9
1485cb95722
154cb3b14c0
hex2e4e2ebc2

12430011330 has 160 divisors (see below), whose sum is σ = 36617790528. Its totient is φ = 3012811200.

The previous prime is 12430011323. The next prime is 12430011331. The reversal of 12430011330 is 3311003421.

12430011330 is a `hidden beast` number, since 1 + 24 + 300 + 11 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12430011331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2162260 + ... + 2168000.

Almost surely, 212430011330 is an apocalyptic number.

12430011330 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 12430011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308895264).

12430011330 is an abundant number, since it is smaller than the sum of its proper divisors (24187779198).

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

12430011330 is an frugal number, since it uses more digits than its factorization.

12430011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5762 counting only the distinct ones).

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

Adding to 12430011330 its reverse (3311003421), we get a palindrome (15741014751).

The spelling of 12430011330 in words is "twelve billion, four hundred thirty million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2187 2430 2673 2970 3645 4374 4455 5346 5741 6561 7290 8019 8910 10935 11482 13122 13365 16038 17223 19683 21870 24057 26730 28705 32805 34446 39366 40095 48114 51669 57410 63151 65610 72171 80190 86115 98415 103338 120285 126302 144342 155007 172230 189453 196830 216513 240570 258345 310014 315755 360855 378906 433026 465021 516690 568359 631510 721710 775035 930042 947265 1082565 1136718 1395063 1550070 1705077 1894530 2165130 2325105 2790126 2841795 3410154 4185189 4650210 5115231 5683590 6975315 8370378 8525385 10230462 12555567 13950630 15345693 17050770 20925945 25111134 25576155 30691386 37666701 41851890 46037079 51152310 62777835 75333402 76728465 92074158 113000103 125555670 138111237 153456930 188333505 226000206 230185395 276222474 376667010 414333711 460370790 565000515 690556185 828667422 1130001030 1243001133 1381112370 2071668555 2486002266 4143337110 6215005665 12430011330