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12430101424 = 241327958189
BaseRepresentation
bin10111001001110010…
…00100101110110000
31012002021102120120211
423210321010232300
5200424101221144
65413232113504
7620013055516
oct134471045660
935067376524
1012430101424
1152a95171a4
1224aa995894
1312312b5300
1485cbba4b6
154cb3cd034
hex2e4e44bb0

12430101424 has 60 divisors (see below), whose sum is σ = 26408949600. Its totient is φ = 5664252672.

The previous prime is 12430101413. The next prime is 12430101427. The reversal of 12430101424 is 42410103421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12430101395 and 12430101404.

It is not an unprimeable number, because it can be changed into a prime (12430101427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184522 + ... + 242710.

It is an arithmetic number, because the mean of its divisors is an integer number (440149160).

Almost surely, 212430101424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204474800).

12430101424 is an abundant number, since it is smaller than the sum of its proper divisors (13978848176).

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

12430101424 is a wasteful number, since it uses less digits than its factorization.

12430101424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58302 (or 58283 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12430101424 its reverse (42410103421), we get a palindrome (54840204845).

The spelling of 12430101424 in words is "twelve billion, four hundred thirty million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 169 208 316 338 632 676 1027 1264 1352 2054 2704 4108 8216 13351 16432 26702 53404 58189 106808 116378 213616 232756 465512 756457 931024 1512914 3025828 4596931 6051656 9193862 9833941 12103312 18387724 19667882 36775448 39335764 59760103 73550896 78671528 119520206 157343056 239040412 478080824 776881339 956161648 1553762678 3107525356 6215050712 12430101424