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133221101 = 13102110037
BaseRepresentation
bin1111111000011…
…00101011101101
3100021200022222212
413330030223231
5233101033401
621115220205
73205234466
oct774145355
9307608885
10133221101
1169221a92
1238747665
13217a5970
141399bd6d
15ba67dbb
hex7f0caed

133221101 has 8 divisors (see below), whose sum is σ = 143623704. Its totient is φ = 122840640.

The previous prime is 133221091. The next prime is 133221107. The reversal of 133221101 is 101122331.

It can be written as a sum of positive squares in 4 ways, for example, as 3147076 + 130074025 = 1774^2 + 11405^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133221101 - 214 = 133204717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8255 + ... + 18291.

It is an arithmetic number, because the mean of its divisors is an integer number (17952963).

Almost surely, 2133221101 is an apocalyptic number.

It is an amenable number.

133221101 is a deficient number, since it is larger than the sum of its proper divisors (10402603).

133221101 is a wasteful number, since it uses less digits than its factorization.

133221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11071.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 133221101 is about 11542.1445580966. The cubic root of 133221101 is about 510.7295735320.

Adding to 133221101 its reverse (101122331), we get a palindrome (234343432).

The spelling of 133221101 in words is "one hundred thirty-three million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 13 1021 10037 13273 130481 10247777 133221101