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12430132420 = 225172311511381
BaseRepresentation
bin10111001001110010…
…01100010011000100
31012002021111011002211
423210321030103010
5200424103214140
65413232513204
7620013245056
oct134471142304
935067434084
1012430132420
1152a9538512
1224aa9ab804
1312312c6454
1485cbc78d6
154cb3d72ea
hex2e4e4c4c4

12430132420 has 96 divisors (see below), whose sum is σ = 28886409216. Its totient is φ = 4468992000.

The previous prime is 12430132399. The next prime is 12430132447. The reversal of 12430132420 is 2423103421.

It is a junction number, because it is equal to n+sod(n) for n = 12430132391 and 12430132400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9000130 + ... + 9001510.

It is an arithmetic number, because the mean of its divisors is an integer number (300900096).

Almost surely, 212430132420 is an apocalyptic number.

12430132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443204608).

12430132420 is an abundant number, since it is smaller than the sum of its proper divisors (16456276796).

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

12430132420 is a wasteful number, since it uses less digits than its factorization.

12430132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12430132420 its reverse (2423103421), we get a palindrome (14853235841).

The spelling of 12430132420 in words is "twelve billion, four hundred thirty million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1151 1381 1564 1955 2302 2762 3910 4604 5524 5755 6905 7820 11510 13810 19567 23020 23477 26473 27620 31763 39134 46954 52946 63526 78268 93908 97835 105892 117385 127052 132365 158815 195670 234770 264730 317630 391340 450041 469540 529460 539971 635260 900082 1079942 1589531 1800164 2159884 2250205 2699855 3179062 4500410 5399710 6358124 7947655 9000820 10799420 15895310 27022027 31790620 36559213 54044054 73118426 108088108 135110135 146236852 182796065 270220270 365592130 540440540 621506621 731184260 1243013242 2486026484 3107533105 6215066210 12430132420