Search a number
-
+
1032023133 = 331923471861
BaseRepresentation
bin111101100000110…
…110110001011101
32122220221012121000
4331200312301131
54103144220013
6250223500513
734401023541
oct7540666135
92586835530
101032023133
1148a606289
12249757739
13135a6cc9b
149b0c5a21
1560909973
hex3d836c5d

1032023133 has 64 divisors (see below), whose sum is σ = 1716019200. Its totient is φ = 609871680.

The previous prime is 1032023123. The next prime is 1032023137. The reversal of 1032023133 is 3313202301.

It is not a de Polignac number, because 1032023133 - 25 = 1032023101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032023137) 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 63 ways as a sum of consecutive naturals, for example, 553623 + ... + 555483.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 21032023133 is an apocalyptic number.

It is an amenable number.

1032023133 is a deficient number, since it is larger than the sum of its proper divisors (683996067).

1032023133 is a wasteful number, since it uses less digits than its factorization.

1032023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1032023133 is about 32125.1168558186. The cubic root of 1032023133 is about 1010.5624201494.

Adding to 1032023133 its reverse (3313202301), we get a palindrome (4345225434).

The spelling of 1032023133 in words is "one billion, thirty-two million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 19 23 27 47 57 69 141 171 207 423 437 513 621 893 1081 1269 1311 1861 2679 3243 3933 5583 8037 9729 11799 16749 20539 24111 29187 35359 42803 50247 61617 87467 106077 128409 184851 262401 318231 385227 554553 787203 813257 954693 1155681 1661873 2011741 2361609 2439771 4985619 6035223 7319313 14956857 18105669 21957939 38223079 44870571 54317007 114669237 344007711 1032023133