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201430441212 = 2237111334948049
BaseRepresentation
bin1011101110011000110…
…0001001110011111100
3201020221000220121221120
42323212030021303330
511300012143104322
6232311425230540
720360430333360
oct2734614116374
9636830817846
10201430441212
1178476261920
1233056792450
1315cc17986b0
149a6c0792a0
15538dd2da5c
hex2ee6309cfc

201430441212 has 192 divisors, whose sum is σ = 632876160000. Its totient is φ = 48155627520.

The previous prime is 201430441193. The next prime is 201430441213. The reversal of 201430441212 is 212144034102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201430441213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4168164 + ... + 4216212.

It is an arithmetic number, because the mean of its divisors is an integer number (3296230000).

Almost surely, 2201430441212 is an apocalyptic number.

201430441212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201430441212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316438080000).

201430441212 is an abundant number, since it is smaller than the sum of its proper divisors (431445718788).

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

201430441212 is a wasteful number, since it uses less digits than its factorization.

201430441212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48436 (or 48434 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201430441212 its reverse (212144034102), we get a palindrome (413574475314).

The spelling of 201430441212 in words is "two hundred one billion, four hundred thirty million, four hundred forty-one thousand, two hundred twelve".