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1105322153 = 13292931889
BaseRepresentation
bin100000111100001…
…1110000010101001
32212000212011221112
41001320132002221
54230430302103
6301402520105
736251040365
oct10170360251
92760764845
101105322153
11517a1a991
1226a206035
13147cc52a0
14a6b262a5
1567087cd8
hex41e1e0a9

1105322153 has 8 divisors (see below), whose sum is σ = 1231393800. Its totient is φ = 985114368.

The previous prime is 1105322147. The next prime is 1105322161. The reversal of 1105322153 is 3512235011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10837264 + 1094484889 = 3292^2 + 33083^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1105322153 - 24 = 1105322137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1105322173) 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 7 ways as a sum of consecutive naturals, for example, 1465568 + ... + 1466321.

It is an arithmetic number, because the mean of its divisors is an integer number (153924225).

Almost surely, 21105322153 is an apocalyptic number.

1105322153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1105322153 is a deficient number, since it is larger than the sum of its proper divisors (126071647).

1105322153 is a wasteful number, since it uses less digits than its factorization.

1105322153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931931.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1105322153 is about 33246.3855629450. The cubic root of 1105322153 is about 1033.9422718052.

Adding to 1105322153 its reverse (3512235011), we get a palindrome (4617557164).

The spelling of 1105322153 in words is "one billion, one hundred five million, three hundred twenty-two thousand, one hundred fifty-three".

Divisors: 1 13 29 377 2931889 38114557 85024781 1105322153