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1101342032 = 24729971409
BaseRepresentation
bin100000110100101…
…0010010101010000
32211202100222020122
41001221102111100
54223420421112
6301141325412
736202152500
oct10151222520
92752328218
101101342032
1151575162a
12268a06868
1314723079b
14a63aba00
1566a4d872
hex41a52550

1101342032 has 60 divisors (see below), whose sum is σ = 2486487060. Its totient is φ = 471195648.

The previous prime is 1101342031. The next prime is 1101342043. The reversal of 1101342032 is 2302431011.

It can be written as a sum of positive squares in 2 ways, for example, as 404170816 + 697171216 = 20104^2 + 26404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1101342032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101342031) 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 11 ways as a sum of consecutive naturals, for example, 780944 + ... + 782352.

It is an arithmetic number, because the mean of its divisors is an integer number (41441451).

Almost surely, 21101342032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243243530).

1101342032 is an abundant number, since it is smaller than the sum of its proper divisors (1385145028).

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

1101342032 is a wasteful number, since it uses less digits than its factorization.

1101342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1101342032 is about 33186.4736300801. The cubic root of 1101342032 is about 1032.6997487713.

Adding to 1101342032 its reverse (2302431011), we get a palindrome (3403773043).

The spelling of 1101342032 in words is "one billion, one hundred one million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 997 1409 1994 2818 3988 5636 6979 7976 9863 11272 13958 15952 19726 22544 27916 39452 48853 55832 69041 78904 97706 111664 138082 157808 195412 276164 390824 552328 781648 1104656 1404773 2809546 5619092 9833411 11238184 19666822 22476368 39333644 68833877 78667288 137667754 157334576 275335508 550671016 1101342032