Search a number
-
+
1100030310 = 232512222559
BaseRepresentation
bin100000110010001…
…0010000101100110
32211122220022220100
41001210102011212
54223101432220
6301053244530
736155050311
oct10144220546
92748808810
101100030310
11514a36065
12268493746
13146b91712
14a6149978
156688ed90
hex41912166

1100030310 has 24 divisors (see below), whose sum is σ = 2860079040. Its totient is φ = 293341392.

The previous prime is 1100030303. The next prime is 1100030329. The reversal of 1100030310 is 130300011.

It is a super-3 number, since 3×11000303103 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100030292 and 1100030301.

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 11 ways as a sum of consecutive naturals, for example, 6111190 + ... + 6111369.

It is an arithmetic number, because the mean of its divisors is an integer number (119169960).

Almost surely, 21100030310 is an apocalyptic number.

1100030310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100030310 is an abundant number, since it is smaller than the sum of its proper divisors (1760048730).

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

1100030310 is a wasteful number, since it uses less digits than its factorization.

1100030310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222572 (or 12222569 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1100030310 is about 33166.7048408491. The cubic root of 1100030310 is about 1032.2895967057.

Adding to 1100030310 its reverse (130300011), we get a palindrome (1230330321).

The spelling of 1100030310 in words is "one billion, one hundred million, thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 12222559 24445118 36667677 61112795 73335354 110003031 122225590 183338385 220006062 366676770 550015155 1100030310