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133728827331 = 3115975367819
BaseRepresentation
bin111110010001011011…
…0111111011111000011
3110210011210101022002210
41330202312333133003
54142334034433311
6141233440513203
712442632164031
oct1744266773703
9423153338083
10133728827331
1151794489310
1221b0161b803
13c7c257c738
1466887d1551
15372a3c13a6
hex1f22dbf7c3

133728827331 has 16 divisors (see below), whose sum is σ = 194520781440. Its totient is φ = 81045222720.

The previous prime is 133728827311. The next prime is 133728827339.

133728827331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133728827331 - 27 = 133728827203 is a prime.

It is a super-2 number, since 2×1337288273312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133728827339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937940 + ... + 2005758.

It is an arithmetic number, because the mean of its divisors is an integer number (12157548840).

Almost surely, 2133728827331 is an apocalyptic number.

133728827331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133728827331 is a deficient number, since it is larger than the sum of its proper divisors (60791954109).

133728827331 is a wasteful number, since it uses less digits than its factorization.

133728827331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127586.

The product of its digits is 1016064, while the sum is 48.

The spelling of 133728827331 in words is "one hundred thirty-three billion, seven hundred twenty-eight million, eight hundred twenty-seven thousand, three hundred thirty-one".

Divisors: 1 3 11 33 59753 67819 179259 203457 657283 746009 1971849 2238027 4052388707 12157166121 44576275777 133728827331