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1120142133 = 321121028597
BaseRepresentation
bin100001011000100…
…0000001100110101
32220001202010010200
41002301000030311
54243224022013
6303052311113
736521023335
oct10261001465
92801663120
101120142133
11525322400
12273172499
1314b0b39c6
14a8aa30c5
1568513e73
hex42c40335

1120142133 has 18 divisors (see below), whose sum is σ = 1778445942. Its totient is φ = 678873360.

The previous prime is 1120142119. The next prime is 1120142143. The reversal of 1120142133 is 3312410211.

1120142133 is a `hidden beast` number, since 11 + 201 + 421 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 686544804 + 433597329 = 26202^2 + 20823^2 .

It is not a de Polignac number, because 1120142133 - 213 = 1120133941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120142143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 513210 + ... + 515387.

Almost surely, 21120142133 is an apocalyptic number.

It is an amenable number.

1120142133 is a deficient number, since it is larger than the sum of its proper divisors (658303809).

1120142133 is a wasteful number, since it uses less digits than its factorization.

1120142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028625 (or 1028611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1120142133 is about 33468.5245118455. The cubic root of 1120142133 is about 1038.5427485575.

Adding to 1120142133 its reverse (3312410211), we get a palindrome (4432552344).

It can be divided in two parts, 11 and 20142133, that added together give a square (20142144 = 44882).

The spelling of 1120142133 in words is "one billion, one hundred twenty million, one hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 1028597 3085791 9257373 11314567 33943701 101831103 124460237 373380711 1120142133