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132101033 = 172457097
BaseRepresentation
bin1111101111110…
…11001110101001
3100012120102112212
413313323032221
5232304213113
621035214505
73162561131
oct767731651
9305512485
10132101033
1168627509
12382a7435
13214a2bbc
1413789ac1
15b8e60a8
hex7dfb3a9

132101033 has 6 divisors (see below), whose sum is σ = 140329086. Its totient is φ = 124330112.

The previous prime is 132101027. The next prime is 132101041. The reversal of 132101033 is 330101231.

It can be written as a sum of positive squares in 3 ways, for example, as 101042704 + 31058329 = 10052^2 + 5573^2 .

It is not a de Polignac number, because 132101033 - 222 = 127906729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132100999 and 132101017.

It is not an unprimeable number, because it can be changed into a prime (132101083) 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 5 ways as a sum of consecutive naturals, for example, 228260 + ... + 228837.

It is an arithmetic number, because the mean of its divisors is an integer number (23388181).

Almost surely, 2132101033 is an apocalyptic number.

It is an amenable number.

132101033 is a deficient number, since it is larger than the sum of its proper divisors (8228053).

132101033 is an equidigital number, since it uses as much as digits as its factorization.

132101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457131 (or 457114 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 132101033 is about 11493.5213490035. The cubic root of 132101033 is about 509.2942088885.

Adding to 132101033 its reverse (330101231), we get a palindrome (462202264).

The spelling of 132101033 in words is "one hundred thirty-two million, one hundred one thousand, thirty-three".

Divisors: 1 17 289 457097 7770649 132101033