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1133304330 = 23567661853
BaseRepresentation
bin100001110001100…
…1101101000001010
32220222111211021110
41003203031220022
54310111214310
6304242351150
740040633154
oct10343155012
92828454243
101133304330
115317a2354
1227765b4b6
13150a419a2
14aa72bad4
1569763d20
hex438cda0a

1133304330 has 64 divisors (see below), whose sum is σ = 2767943808. Its totient is φ = 296904960.

The previous prime is 1133304317. The next prime is 1133304331. The reversal of 1133304330 is 334033311.

1133304330 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1133304297 and 1133304306.

It is not an unprimeable number, because it can be changed into a prime (1133304331) 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 31 ways as a sum of consecutive naturals, for example, 1328184 + ... + 1329036.

It is an arithmetic number, because the mean of its divisors is an integer number (43249122).

Almost surely, 21133304330 is an apocalyptic number.

1133304330 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 1133304330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383971904).

1133304330 is an abundant number, since it is smaller than the sum of its proper divisors (1634639478).

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

1133304330 is a wasteful number, since it uses less digits than its factorization.

1133304330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 1133304330 is about 33664.5856947624. The cubic root of 1133304330 is about 1042.5947075654.

Adding to 1133304330 its reverse (334033311), we get a palindrome (1467337641).

The spelling of 1133304330 in words is "one billion, one hundred thirty-three million, three hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 661 670 853 1005 1322 1706 1983 2010 2559 3305 3966 4265 5118 6610 8530 9915 12795 19830 25590 44287 57151 88574 114302 132861 171453 221435 265722 285755 342906 442870 563833 571510 664305 857265 1127666 1328610 1691499 1714530 2819165 3382998 5638330 8457495 16914990 37776811 75553622 113330433 188884055 226660866 377768110 566652165 1133304330