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12201330141 = 32711131354349
BaseRepresentation
bin10110101110100000…
…11000010111011101
31011111022221210101100
423113100120113131
5144442020031031
65334420503313
7611234411040
oct132720302735
934438853340
1012201330141
1151a1372a20
12244624ab39
1311c5a963a0
1483a668c57
154b628dde6
hex2d74185dd

12201330141 has 48 divisors (see below), whose sum is σ = 23663203200. Its totient is φ = 5850783360.

The previous prime is 12201330107. The next prime is 12201330199. The reversal of 12201330141 is 14103310221.

It is not a de Polignac number, because 12201330141 - 213 = 12201321949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201330241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668166 + ... + 686183.

It is an arithmetic number, because the mean of its divisors is an integer number (492983400).

Almost surely, 212201330141 is an apocalyptic number.

12201330141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201330141 is a deficient number, since it is larger than the sum of its proper divisors (11461873059).

12201330141 is a wasteful number, since it uses less digits than its factorization.

12201330141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354386 (or 1354383 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12201330141 its reverse (14103310221), we get a palindrome (26304640362).

The spelling of 12201330141 in words is "twelve billion, two hundred one million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 1354349 4063047 9480443 12189141 14897839 17606537 28441329 44693517 52819611 85323987 104284873 123245759 134080551 158458833 193671907 312854619 369737277 581015721 938563857 1109211831 1355703349 1743047163 4067110047 12201330141