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12430041030 = 233511103179227
BaseRepresentation
bin10111001001110001…
…10101111111000110
31012002021022111202000
423210320311333012
5200424042303110
65413230530130
7620012414451
oct134470657706
935067274660
1012430041030
1152a9485890
1224aa966946
131231293984
1485cba2498
154cb3ba1c0
hex2e4e35fc6

12430041030 has 256 divisors, whose sum is σ = 36876902400. Its totient is φ = 2954344320.

The previous prime is 12430041023. The next prime is 12430041049. The reversal of 12430041030 is 3014003421.

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

It is a junction number, because it is equal to n+sod(n) for n = 12430040994 and 12430041012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54757777 + ... + 54758003.

It is an arithmetic number, because the mean of its divisors is an integer number (144050400).

Almost surely, 212430041030 is an apocalyptic number.

12430041030 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 12430041030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18438451200).

12430041030 is an abundant number, since it is smaller than the sum of its proper divisors (24446861370).

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

12430041030 is a wasteful number, since it uses less digits than its factorization.

12430041030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12430041030 its reverse (3014003421), we get a palindrome (15444044451).

The spelling of 12430041030 in words is "twelve billion, four hundred thirty million, forty-one thousand, thirty".