Search a number
-
+
1012133889 = 321320814157
BaseRepresentation
bin111100010100111…
…111000000000001
32121112111201200100
4330110333000001
54033101241024
6244233313013
734036665444
oct7424770001
92545451610
101012133889
1147a361198
12242b65769
131318c80c0
14985c965b
155dccb7c9
hex3c53f001

1012133889 has 24 divisors (see below), whose sum is σ = 1575565992. Its totient is φ = 622402560.

The previous prime is 1012133887. The next prime is 1012133893. The reversal of 1012133889 is 9883312101.

It can be written as a sum of positive squares in 4 ways, for example, as 13068225 + 999065664 = 3615^2 + 31608^2 .

It is not a de Polignac number, because 1012133889 - 21 = 1012133887 is a prime.

It is a super-4 number, since 4×10121338894 (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012133887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241399 + ... + 245555.

It is an arithmetic number, because the mean of its divisors is an integer number (65648583).

Almost surely, 21012133889 is an apocalyptic number.

It is an amenable number.

1012133889 is a deficient number, since it is larger than the sum of its proper divisors (563432103).

1012133889 is a wasteful number, since it uses less digits than its factorization.

1012133889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1012133889 is about 31814.0517539027. The cubic root of 1012133889 is about 1004.0283800304.

The spelling of 1012133889 in words is "one billion, twelve million, one hundred thirty-three thousand, eight hundred eighty-nine".

Divisors: 1 3 9 13 39 117 2081 4157 6243 12471 18729 27053 37413 54041 81159 162123 243477 486369 8650717 25952151 77856453 112459321 337377963 1012133889