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11223321140 = 2254118677331
BaseRepresentation
bin10100111001111011…
…00100101000110100
31001222011122210020202
422130331210220310
5140441132234030
65053402420032
7545060440613
oct123475445064
931864583222
1011223321140
11483a2aa319
122212801618
13109b288935
1478680387a
1545a4a3745
hex29cf64a34

11223321140 has 48 divisors (see below), whose sum is σ = 24160054464. Its totient is φ = 4376889600.

The previous prime is 11223321133. The next prime is 11223321199. The reversal of 11223321140 is 4112332211.

11223321140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1527275 + ... + 1534605.

It is an arithmetic number, because the mean of its divisors is an integer number (503334468).

Almost surely, 211223321140 is an apocalyptic number.

11223321140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223321140 is an abundant number, since it is smaller than the sum of its proper divisors (12936733324).

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

11223321140 is a wasteful number, since it uses less digits than its factorization.

11223321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11223321140 its reverse (4112332211), we get a palindrome (15335653351).

The spelling of 11223321140 in words is "eleven billion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1867 3734 7331 7468 9335 14662 18670 29324 36655 37340 73310 76547 146620 153094 300571 306188 382735 601142 765470 1202284 1502855 1530940 3005710 6011420 13686977 27373954 54747908 68434885 136869770 273739540 561166057 1122332114 2244664228 2805830285 5611660570 11223321140