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12430002431 = 7211411015569
BaseRepresentation
bin10111001001110001…
…01100100011111111
31012002021020112210102
423210320230203333
5200424040034211
65413230031315
7620012164100
oct134470544377
935067215712
1012430002431
1152a9459890
1224aa94853b
13123127c232
1485cb923a7
154cb3ada3b
hex2e4e2c8ff

12430002431 has 48 divisors (see below), whose sum is σ = 16321525920. Its totient is φ = 9354240000.

The previous prime is 12430002419. The next prime is 12430002449. The reversal of 12430002431 is 13420003421.

It is not a de Polignac number, because 12430002431 - 210 = 12430001407 is a prime.

It is a super-2 number, since 2×124300024312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430007431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229215 + ... + 2234783.

It is an arithmetic number, because the mean of its divisors is an integer number (340031790).

Almost surely, 212430002431 is an apocalyptic number.

12430002431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12430002431 is a deficient number, since it is larger than the sum of its proper divisors (3891523489).

12430002431 is a wasteful number, since it uses less digits than its factorization.

12430002431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12430002431 its reverse (13420003421), we get a palindrome (25850005852).

The spelling of 12430002431 in words is "twelve billion, four hundred thirty million, two thousand, four hundred thirty-one".

Divisors: 1 7 11 41 49 77 101 287 451 539 707 1111 2009 3157 4141 4949 5569 7777 22099 28987 38983 45551 54439 61259 202909 228329 272881 318857 428813 562469 1598303 2231999 2511619 3001691 3937283 6187159 11188121 17581333 23061229 27560981 43310113 123069331 161428603 253673519 303170791 1130000221 1775714633 12430002431