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141311303133 = 371113219237271
BaseRepresentation
bin1000001110011011001…
…1110101110111011101
3111111202020010222110220
42003212303311313131
54303401143200013
6144530103351553
713131553154340
oct2034663656735
9444666128426
10141311303133
1154a25601640
1223478a525b9
1310430456a00
146ba7852457
153a20de5b23
hex20e6cf5ddd

141311303133 has 288 divisors, whose sum is σ = 276732260352. Its totient is φ = 62229772800.

The previous prime is 141311303117. The next prime is 141311303179. The reversal of 141311303133 is 331303113141.

It is not a de Polignac number, because 141311303133 - 24 = 141311303117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141311301133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 521443788 + ... + 521444058.

It is an arithmetic number, because the mean of its divisors is an integer number (960875904).

Almost surely, 2141311303133 is an apocalyptic number.

141311303133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

141311303133 is a deficient number, since it is larger than the sum of its proper divisors (135420957219).

141311303133 is a wasteful number, since it uses less digits than its factorization.

141311303133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 141311303133 its reverse (331303113141), we get a palindrome (472614416274).

It can be divided in two parts, 141311 and 303133, that added together give a palindrome (444444).

The spelling of 141311303133 in words is "one hundred forty-one billion, three hundred eleven million, three hundred three thousand, one hundred thirty-three".