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132830327237 = 1723929365683
BaseRepresentation
bin111101110110101001…
…1011111000111000101
3110200212011200202200112
41323231103133013011
54134014030432422
6141004342522405
712411442103156
oct1735523370705
9420764622615
10132830327237
1151373290953
12218b0736405
13c6ab38c98a
14660134592d
1536c658dee2
hex1eed4df1c5

132830327237 has 16 divisors (see below), whose sum is σ = 146917203840. Its totient is φ = 119452219392.

The previous prime is 132830327233. The next prime is 132830327269. The reversal of 132830327237 is 732723038231.

It is a cyclic number.

It is not a de Polignac number, because 132830327237 - 22 = 132830327233 is a prime.

It is a super-3 number, since 3×1328303272373 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132830327194 and 132830327203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132830327233) 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 15 ways as a sum of consecutive naturals, for example, 180398 + ... + 546080.

It is an arithmetic number, because the mean of its divisors is an integer number (9182325240).

Almost surely, 2132830327237 is an apocalyptic number.

132830327237 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132830327237 is a deficient number, since it is larger than the sum of its proper divisors (14086876603).

132830327237 is a wasteful number, since it uses less digits than its factorization.

132830327237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366652.

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 132830327237 in words is "one hundred thirty-two billion, eight hundred thirty million, three hundred twenty-seven thousand, two hundred thirty-seven".

Divisors: 1 17 23 391 929 15793 21367 363239 365683 6216611 8410709 142982053 339719507 5775231619 7813548661 132830327237