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132122310033 = 3759106636247
BaseRepresentation
bin111101100001100011…
…0100111010110010001
3110122000211102202200010
41323003012213112101
54131041302410113
6140410211345133
712355054051110
oct1730306472621
9418024382603
10132122310033
115103a66606a
12217335b21a9
13c5c77a439c
1465752c1c77
1536843361c3
hex1ec31a7591

132122310033 has 16 divisors (see below), whose sum is σ = 204741596160. Its totient is φ = 74218827216.

The previous prime is 132122309981. The next prime is 132122310091. The reversal of 132122310033 is 330013221231.

It is not a de Polignac number, because 132122310033 - 28 = 132122309777 is a prime.

It is a super-2 number, since 2×1321223100332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132122309991 and 132122310009.

It is not an unprimeable number, because it can be changed into a prime (132122710033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53316885 + ... + 53319362.

It is an arithmetic number, because the mean of its divisors is an integer number (12796349760).

Almost surely, 2132122310033 is an apocalyptic number.

It is an amenable number.

132122310033 is a deficient number, since it is larger than the sum of its proper divisors (72619286127).

132122310033 is a wasteful number, since it uses less digits than its factorization.

132122310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106636316.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132122310033 its reverse (330013221231), we get a palindrome (462135531264).

The spelling of 132122310033 in words is "one hundred thirty-two billion, one hundred twenty-two million, three hundred ten thousand, thirty-three".

Divisors: 1 3 7 21 59 177 413 1239 106636247 319908741 746453729 2239361187 6291538573 18874615719 44040770011 132122310033