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12134432310 = 235711133767163
BaseRepresentation
bin10110100110100010…
…01011111000110110
31011022200002000210220
423103101023320312
5144322403313220
65324030555210
7606462654450
oct132321137066
934280060726
1012134432310
115167630660
122427968b06
1311b4c72880
148318132d0
154b0477540
hex2d344be36

12134432310 has 512 divisors, whose sum is σ = 41007955968. Its totient is φ = 2217093120.

The previous prime is 12134432293. The next prime is 12134432371. The reversal of 12134432310 is 1323443121.

It is a happy number.

It is a super-2 number, since 2×121344323102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74444289 + ... + 74444451.

It is an arithmetic number, because the mean of its divisors is an integer number (80093664).

Almost surely, 212134432310 is an apocalyptic number.

12134432310 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 12134432310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503977984).

12134432310 is an abundant number, since it is smaller than the sum of its proper divisors (28873523658).

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

12134432310 is a wasteful number, since it uses less digits than its factorization.

12134432310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12134432310 its reverse (1323443121), we get a palindrome (13457875431).

It can be divided in two parts, 12134 and 432310, that added together give a palindrome (444444).

The spelling of 12134432310 in words is "twelve billion, one hundred thirty-four million, four hundred thirty-two thousand, three hundred ten".