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11323240290 = 2345611012269
BaseRepresentation
bin10101000101110101…
…01110111101100010
31002020010200012120000
422202322232331202
5141142222142130
65111332200430
7550412645235
oct124272567542
932203605500
1011323240290
11489074602a
122240169116
1310b5ba16ab
14795bb341c
1546413e260
hex2a2eaef62

11323240290 has 160 divisors (see below), whose sum is σ = 31266235440. Its totient is φ = 2939328000.

The previous prime is 11323240289. The next prime is 11323240309. The reversal of 11323240290 is 9204232311.

It is a happy number.

11323240290 is a `hidden beast` number, since 1 + 132 + 3 + 240 + 290 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1856144889 + 9467095401 = 43083^2 + 97299^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4989276 + ... + 4991544.

Almost surely, 211323240290 is an apocalyptic number.

11323240290 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 11323240290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633117720).

11323240290 is an abundant number, since it is smaller than the sum of its proper divisors (19942995150).

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

11323240290 is a wasteful number, since it uses less digits than its factorization.

11323240290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11323240290 in words is "eleven billion, three hundred twenty-three million, two hundred forty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 101 122 135 162 183 202 270 303 305 366 405 505 549 606 610 810 909 915 1010 1098 1515 1647 1818 1830 2269 2727 2745 3030 3294 4538 4545 4941 5454 5490 6161 6807 8181 8235 9090 9882 11345 12322 13614 13635 16362 16470 18483 20421 22690 24705 27270 30805 34035 36966 40842 40905 49410 55449 61263 61610 68070 81810 92415 102105 110898 122526 138409 166347 183789 184830 204210 229169 276818 277245 306315 332694 367578 415227 458338 499041 554490 612630 687507 692045 830454 831735 918945 998082 1145845 1245681 1375014 1384090 1663470 1837890 2062521 2076135 2291690 2491362 2495205 3437535 3737043 4125042 4152270 4990410 6187563 6228405 6875070 7474086 10312605 11211129 12375126 12456810 13979309 18562689 18685215 20625210 22422258 27958618 30937815 37125378 37370430 41937927 56055645 61875630 69896545 83875854 92813445 112111290 125813781 139793090 185626890 209689635 251627562 377441343 419379270 629068905 754882686 1132324029 1258137810 1887206715 2264648058 3774413430 5661620145 11323240290