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12301400430 = 232511172333137
BaseRepresentation
bin10110111010011100…
…00111100101101110
31011202022020220000100
423131032013211232
5200143124303210
65352353411530
7613561115124
oct133516074556
934668226010
1012301400430
115242902240
122473869ba6
131210732b87
14849a77914
154bee595c0
hex2dd38796e

12301400430 has 192 divisors, whose sum is σ = 37114054848. Its totient is φ = 2793799680.

The previous prime is 12301400399. The next prime is 12301400473. The reversal of 12301400430 is 3400410321.

12301400430 is a `hidden beast` number, since 1 + 230 + 1 + 4 + 0 + 0 + 430 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3919822 + ... + 3922958.

It is an arithmetic number, because the mean of its divisors is an integer number (193302369).

Almost surely, 212301400430 is an apocalyptic number.

12301400430 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 12301400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18557027424).

12301400430 is an abundant number, since it is smaller than the sum of its proper divisors (24812654418).

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

12301400430 is a wasteful number, since it uses less digits than its factorization.

12301400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3408 counting only the distinct ones).

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

Adding to 12301400430 its reverse (3400410321), we get a palindrome (15701810751).

The spelling of 12301400430 in words is "twelve billion, three hundred one million, four hundred thousand, four hundred thirty".