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11323120000 = 2754141539
BaseRepresentation
bin10101000101110100…
…10001100110000000
31002020010110002112211
422202322101212000
5141142204320000
65111325431504
7550411634443
oct124272214600
932203402484
1011323120000
114890673715
12224010b594
1310b5b5ba0a
14795b8165a
154641187ba
hex2a2e91980

11323120000 has 80 divisors (see below), whose sum is σ = 28188398700. Its totient is φ = 4529216000.

The previous prime is 11323119991. The next prime is 11323120049. The reversal of 11323120000 is 2132311.

It is a tau number, because it is divible by the number of its divisors (80).

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 9 ways as a sum of consecutive naturals, for example, 9231 + ... + 150769.

Almost surely, 211323120000 is an apocalyptic number.

11323120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094199350).

11323120000 is an abundant number, since it is smaller than the sum of its proper divisors (16865278700).

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

11323120000 is an frugal number, since it uses more digits than its factorization.

11323120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141573 (or 141546 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11323120000 its reverse (2132311), we get a palindrome (11325252311).

The spelling of 11323120000 in words is "eleven billion, three hundred twenty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 141539 283078 566156 707695 1132312 1415390 2264624 2830780 3538475 4529248 5661560 7076950 9058496 11323120 14153900 17692375 18116992 22646240 28307800 35384750 45292480 56615600 70769500 88461875 90584960 113231200 141539000 176923750 226462400 283078000 353847500 452924800 566156000 707695000 1132312000 1415390000 2264624000 2830780000 5661560000 11323120000