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133200221 = 7116725819
BaseRepresentation
bin1111111000001…
…11100101011101
3100021122021100112
413330013211131
5233044401341
621114535405
73205116560
oct774074535
9307567315
10133200221
1169208330
1238737565
13217992cb
14139944d7
15ba61aeb
hex7f0795d

133200221 has 16 divisors (see below), whose sum is σ = 168552960. Its totient is φ = 102239280.

The previous prime is 133200217. The next prime is 133200227. The reversal of 133200221 is 122002331.

It is a happy number.

It is not a de Polignac number, because 133200221 - 22 = 133200217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133200196 and 133200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133200227) 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 15 ways as a sum of consecutive naturals, for example, 7751 + ... + 18068.

It is an arithmetic number, because the mean of its divisors is an integer number (10534560).

Almost surely, 2133200221 is an apocalyptic number.

133200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133200221 is a deficient number, since it is larger than the sum of its proper divisors (35352739).

133200221 is a wasteful number, since it uses less digits than its factorization.

133200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25904.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133200221 is about 11541.2400113679. The cubic root of 133200221 is about 510.7028895943.

Adding to 133200221 its reverse (122002331), we get a palindrome (255202552).

The spelling of 133200221 in words is "one hundred thirty-three million, two hundred thousand, two hundred twenty-one".

Divisors: 1 7 11 67 77 469 737 5159 25819 180733 284009 1729873 1988063 12109111 19028603 133200221