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12302144430 = 23537103910667
BaseRepresentation
bin10110111010100001…
…11101001110101110
31011202100122200120220
423131100331032232
5200143322110210
65352421352210
7613600334202
oct133520751656
934670580526
1012302144430
115243270214
122473b68666
131210933704
14849bccb02
154c0054c70
hex2dd43d3ae

12302144430 has 64 divisors (see below), whose sum is σ = 30355153920. Its totient is φ = 3188536704.

The previous prime is 12302144429. The next prime is 12302144431. The reversal of 12302144430 is 3444120321.

It is an interprime number because it is at equal distance from previous prime (12302144429) and next prime (12302144431).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12302144430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302144431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147957 + ... + 1158623.

It is an arithmetic number, because the mean of its divisors is an integer number (474299280).

Almost surely, 212302144430 is an apocalyptic number.

12302144430 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 12302144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177576960).

12302144430 is an abundant number, since it is smaller than the sum of its proper divisors (18053009490).

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

12302144430 is a wasteful number, since it uses less digits than its factorization.

12302144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12302144430 its reverse (3444120321), we get a palindrome (15746264751).

The spelling of 12302144430 in words is "twelve billion, three hundred two million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1039 1110 2078 3117 5195 6234 10390 10667 15585 21334 31170 32001 38443 53335 64002 76886 106670 115329 160005 192215 230658 320010 384430 394679 576645 789358 1153290 1184037 1973395 2368074 3946790 5920185 11083013 11840370 22166026 33249039 55415065 66498078 110830130 166245195 332490390 410071481 820142962 1230214443 2050357405 2460428886 4100714810 6151072215 12302144430