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201122432430 = 23547238959707
BaseRepresentation
bin1011101101001111010…
…1001100010110101110
3201020010120100011022220
42323103311030112232
511243344320314210
6232221103420210
720350000316523
oct2732365142656
9636116304286
10201122432430
1178328408307
1232b8b5b4666
1315c72a2548a
149a3d1bd14a
155371c8bc70
hex2ed3d4c5ae

201122432430 has 64 divisors (see below), whose sum is σ = 493178526720. Its totient is φ = 52468677504.

The previous prime is 201122432419. The next prime is 201122432437. The reversal of 201122432430 is 34234221102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201122432430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122432437) 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, 3338637 + ... + 3398343.

It is an arithmetic number, because the mean of its divisors is an integer number (7705914480).

Almost surely, 2201122432430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122432430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246589263360).

201122432430 is an abundant number, since it is smaller than the sum of its proper divisors (292056094290).

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

201122432430 is a wasteful number, since it uses less digits than its factorization.

201122432430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62153.

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

Adding to 201122432430 its reverse (34234221102), we get a palindrome (235356653532).

It can be divided in two parts, 20112 and 2432430, that added together give a palindrome (2452542).

The spelling of 201122432430 in words is "two hundred one billion, one hundred twenty-two million, four hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2389 4778 7167 11945 14334 23890 35835 59707 71670 112283 119414 179121 224566 298535 336849 358242 561415 597070 673698 895605 1122830 1684245 1791210 2806229 3368490 5612458 8418687 14031145 16837374 28062290 42093435 84186870 142640023 285280046 427920069 713200115 855840138 1426400230 2139600345 4279200690 6704081081 13408162162 20112243243 33520405405 40224486486 67040810810 100561216215 201122432430