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133516045 = 51317120829
BaseRepresentation
bin1111111010101…
…00101100001101
3100022020022120201
413331110230031
5233140003140
621125413501
73210603415
oct775245415
9308208521
10133516045
1169403643
123886a291
1321879ca0
1413a37645
15bac549a
hex7f54b0d

133516045 has 16 divisors (see below), whose sum is σ = 182694960. Its totient is φ = 92795904.

The previous prime is 133516043. The next prime is 133516057. The reversal of 133516045 is 540615331.

It can be written as a sum of positive squares in 8 ways, for example, as 17867529 + 115648516 = 4227^2 + 10754^2 .

It is a cyclic number.

It is not a de Polignac number, because 133516045 - 21 = 133516043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133516043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59310 + ... + 61519.

It is an arithmetic number, because the mean of its divisors is an integer number (11418435).

Almost surely, 2133516045 is an apocalyptic number.

It is an amenable number.

133516045 is a deficient number, since it is larger than the sum of its proper divisors (49178915).

133516045 is a wasteful number, since it uses less digits than its factorization.

133516045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120864.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 133516045 is about 11554.9143224863. The cubic root of 133516045 is about 511.1062045405.

The spelling of 133516045 in words is "one hundred thirty-three million, five hundred sixteen thousand, forty-five".

Divisors: 1 5 13 17 65 85 221 1105 120829 604145 1570777 2054093 7853885 10270465 26703209 133516045