Search a number
-
+
1020433131 = 32515322003
BaseRepresentation
bin111100110100101…
…001001011101011
32122010010101002200
4330310221023223
54042212330011
6245131231243
734200352464
oct7464511353
92563111080
101020433131
1148400a573
122458a8523
131335427b3
1499749d6b
155e8ba856
hex3cd292eb

1020433131 has 12 divisors (see below), whose sum is σ = 1474312008. Its totient is φ = 680125824.

The previous prime is 1020433123. The next prime is 1020433147. The reversal of 1020433131 is 1313340201.

1020433131 is a `hidden beast` number, since 102 + 0 + 433 + 131 = 666.

It is not a de Polignac number, because 1020433131 - 23 = 1020433123 is a prime.

It is a super-2 number, since 2×10204331312 = 2082567549684926322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020433831) 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 11 ways as a sum of consecutive naturals, for example, 35376 + ... + 57378.

It is an arithmetic number, because the mean of its divisors is an integer number (122859334).

Almost surely, 21020433131 is an apocalyptic number.

1020433131 is a deficient number, since it is larger than the sum of its proper divisors (453878877).

1020433131 is a wasteful number, since it uses less digits than its factorization.

1020433131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27162 (or 27159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1020433131 is about 31944.2190544706. The cubic root of 1020433131 is about 1006.7651728939.

Adding to 1020433131 its reverse (1313340201), we get a palindrome (2333773332).

The spelling of 1020433131 in words is "one billion, twenty million, four hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 5153 15459 22003 46377 66009 198027 113381459 340144377 1020433131