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1133010324 = 2232101311609
BaseRepresentation
bin100001110001000…
…0101110110010100
32220221221212222100
41003202011312110
54310022312244
6304232202100
740035300045
oct10342056624
92827855870
101133010324
11531611476
12277539330
1315096ac14
14aa6928cc
1569706b69
hex43885d94

1133010324 has 36 divisors (see below), whose sum is σ = 2892364020. Its totient is φ = 373929600.

The previous prime is 1133010313. The next prime is 1133010353. The reversal of 1133010324 is 4230103311.

1133010324 is a `hidden beast` number, since 1 + 1 + 330 + 10 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 898920324 + 234090000 = 29982^2 + 15300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×11330103243 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1133010297 and 1133010306.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 152169 + ... + 159440.

It is an arithmetic number, because the mean of its divisors is an integer number (80343445).

Almost surely, 21133010324 is an apocalyptic number.

It is an amenable number.

1133010324 is an abundant number, since it is smaller than the sum of its proper divisors (1759353696).

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

1133010324 is a wasteful number, since it uses less digits than its factorization.

1133010324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311720 (or 311715 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133010324 is about 33660.2187158670. The cubic root of 1133010324 is about 1042.5045418431.

Adding to 1133010324 its reverse (4230103311), we get a palindrome (5363113635).

The spelling of 1133010324 in words is "one billion, one hundred thirty-three million, ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 311609 623218 934827 1246436 1869654 2804481 3739308 5608962 11217924 31472509 62945018 94417527 125890036 188835054 283252581 377670108 566505162 1133010324