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1033055130 = 235611095179
BaseRepresentation
bin111101100100110…
…010101110011010
32122222212122020010
4331210302232122
54103430231010
6250301542350
734412552352
oct7544625632
92588778203
101033055130
11490150678
12249b749b6
13136041933
149b2b3b62
1560a60620
hex3d932b9a

1033055130 has 64 divisors (see below), whose sum is σ = 2543587200. Its totient is φ = 268427520.

The previous prime is 1033055053. The next prime is 1033055173. The reversal of 1033055130 is 315503301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1033055097 and 1033055106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 196881 + ... + 202059.

It is an arithmetic number, because the mean of its divisors is an integer number (39743550).

Almost surely, 21033055130 is an apocalyptic number.

1033055130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033055130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271793600).

1033055130 is an abundant number, since it is smaller than the sum of its proper divisors (1510532070).

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

1033055130 is a wasteful number, since it uses less digits than its factorization.

1033055130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 1033055130 is about 32141.1749940789. The cubic root of 1033055130 is about 1010.8991535429.

Adding to 1033055130 its reverse (315503301), we get a palindrome (1348558431).

The spelling of 1033055130 in words is "one billion, thirty-three million, fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 109 122 183 218 305 327 366 545 610 654 915 1090 1635 1830 3270 5179 6649 10358 13298 15537 19947 25895 31074 33245 39894 51790 66490 77685 99735 155370 199470 315919 564511 631838 947757 1129022 1579595 1693533 1895514 2822555 3159190 3387066 4738785 5645110 8467665 9477570 16935330 34435171 68870342 103305513 172175855 206611026 344351710 516527565 1033055130