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133105021 = 723773417
BaseRepresentation
bin1111110111100…
…00010101111101
3100021110102202121
413323300111331
5233033330041
621112522541
73204242200
oct773602575
9307412677
10133105021
1169152855
12386b0451
1321764b8a
141396b937
15ba437d1
hex7ef057d

133105021 has 12 divisors (see below), whose sum is σ = 159023388. Its totient is φ = 111004992.

The previous prime is 133105009. The next prime is 133105031. The reversal of 133105021 is 120501331.

It can be written as a sum of positive squares in 2 ways, for example, as 113656921 + 19448100 = 10661^2 + 4410^2 .

It is not a de Polignac number, because 133105021 - 215 = 133072253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133104986 and 133105004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133105001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34896 + ... + 38521.

It is an arithmetic number, because the mean of its divisors is an integer number (13251949).

Almost surely, 2133105021 is an apocalyptic number.

It is an amenable number.

133105021 is a deficient number, since it is larger than the sum of its proper divisors (25918367).

133105021 is an equidigital number, since it uses as much as digits as its factorization.

133105021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73468 (or 73461 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 133105021 is about 11537.1149339859. The cubic root of 133105021 is about 510.5811918419.

Adding to 133105021 its reverse (120501331), we get a palindrome (253606352).

The spelling of 133105021 in words is "one hundred thirty-three million, one hundred five thousand, twenty-one".

Divisors: 1 7 37 49 259 1813 73417 513919 2716429 3597433 19015003 133105021