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1011130452 = 223413612293
BaseRepresentation
bin111100010001001…
…010000001010100
32121110121202020000
4330101022001110
54032322133302
6244200011300
734025316123
oct7421120124
92543552200
101011130452
11479836302
12242760b30
13131636457
1498407aba
155db7e31c
hex3c44a054

1011130452 has 60 divisors (see below), whose sum is σ = 2646390516. Its totient is φ = 336648960.

The previous prime is 1011130451. The next prime is 1011130457. The reversal of 1011130452 is 2540311101.

1011130452 is a `hidden beast` number, since 101 + 113 + 0 + 452 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229704336 + 781426116 = 15156^2 + 27954^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011130451) 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 19 ways as a sum of consecutive naturals, for example, 439818 + ... + 442110.

Almost surely, 21011130452 is an apocalyptic number.

1011130452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011130452 is an abundant number, since it is smaller than the sum of its proper divisors (1635260064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011130452 is a wasteful number, since it uses less digits than its factorization.

1011130452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1011130452 is about 31798.2775005188. The cubic root of 1011130452 is about 1003.6964699406.

Adding to 1011130452 its reverse (2540311101), we get a palindrome (3551441553).

The spelling of 1011130452 in words is "one billion, eleven million, one hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1361 2293 2722 4083 4586 5444 6879 8166 9172 12249 13758 16332 20637 24498 27516 36747 41274 48996 61911 73494 82548 110241 123822 146988 185733 220482 247644 371466 440964 742932 3120773 6241546 9362319 12483092 18724638 28086957 37449276 56173914 84260871 112347828 168521742 252782613 337043484 505565226 1011130452