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120036133 = 7217294969
BaseRepresentation
bin1110010011110…
…01101100100101
322100212110121201
413021321230211
5221212124013
615524442501
72655201400
oct711715445
9270773551
10120036133
1161836a18
1234249431
131bb3a4c9
1411d28d37
15a8113dd
hex7279b25

120036133 has 24 divisors (see below), whose sum is σ = 152976600. Its totient is φ = 93477888.

The previous prime is 120036127. The next prime is 120036143. The reversal of 120036133 is 331630021.

It can be written as a sum of positive squares in 4 ways, for example, as 17581249 + 102454884 = 4193^2 + 10122^2 .

It is not a de Polignac number, because 120036133 - 25 = 120036101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120036133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120036113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21673 + ... + 26641.

It is an arithmetic number, because the mean of its divisors is an integer number (6374025).

Almost surely, 2120036133 is an apocalyptic number.

It is an amenable number.

120036133 is a deficient number, since it is larger than the sum of its proper divisors (32940467).

120036133 is a wasteful number, since it uses less digits than its factorization.

120036133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 120036133 is about 10956.1002642364. The cubic root of 120036133 is about 493.2919163651.

Adding to 120036133 its reverse (331630021), we get a palindrome (451666154).

The spelling of 120036133 in words is "one hundred twenty million, thirty-six thousand, one hundred thirty-three".

Divisors: 1 7 17 29 49 119 203 493 833 1421 3451 4969 24157 34783 84473 144101 243481 591311 1008707 2449717 4139177 7060949 17148019 120036133