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1105531032 = 233433832797
BaseRepresentation
bin100000111100101…
…0001000010011000
32212001020210110210
41001321101002120
54231003443112
6301411211120
736252600354
oct10171210230
92761223423
101105531032
11518052911
1226a2a6aa0
13148069398
14a6b7c464
15670c9b3c
hex41e51098

1105531032 has 64 divisors (see below), whose sum is σ = 2836500480. Its totient is φ = 358872192.

The previous prime is 1105531013. The next prime is 1105531057. The reversal of 1105531032 is 2301355011.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 393858 + ... + 396654.

It is an arithmetic number, because the mean of its divisors is an integer number (44320320).

Almost surely, 21105531032 is an apocalyptic number.

1105531032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105531032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418250240).

1105531032 is an abundant number, since it is smaller than the sum of its proper divisors (1730969448).

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

1105531032 is a wasteful number, since it uses less digits than its factorization.

1105531032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1105531032 is about 33249.5267936252. The cubic root of 1105531032 is about 1034.0073976826.

Adding to 1105531032 its reverse (2301355011), we get a palindrome (3406886043).

The spelling of 1105531032 in words is "one billion, one hundred five million, five hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 383 516 766 1032 1149 1532 2298 2797 3064 4596 5594 8391 9192 11188 16469 16782 22376 32938 33564 49407 65876 67128 98814 120271 131752 197628 240542 360813 395256 481084 721626 962168 1071251 1443252 2142502 2886504 3213753 4285004 6427506 8570008 12855012 25710024 46063793 92127586 138191379 184255172 276382758 368510344 552765516 1105531032