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11323022000 = 245310395449
BaseRepresentation
bin10101000101110011…
…11001101010110000
31002020010021010010012
422202321321222300
5141142143201000
65111323354052
7550411045643
oct124271715260
932203233105
1011323022000
114890607024
122240082928
1310b5b26224
14795b57a5a
154640e9735
hex2a2e79ab0

11323022000 has 80 divisors (see below), whose sum is σ = 27410448000. Its totient is φ = 4524019200.

The previous prime is 11323021991. The next prime is 11323022003. The reversal of 11323022000 is 22032311.

It is a happy number.

11323022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11323022003) by changing a digit.

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, 2075276 + ... + 2080724.

It is an arithmetic number, because the mean of its divisors is an integer number (342630600).

Almost surely, 211323022000 is an apocalyptic number.

11323022000 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 11323022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705224000).

11323022000 is an abundant number, since it is smaller than the sum of its proper divisors (16087426000).

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

11323022000 is a wasteful number, since it uses less digits than its factorization.

11323022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11323022000 its reverse (22032311), we get a palindrome (11345054311).

The spelling of 11323022000 in words is "eleven billion, three hundred twenty-three million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1039 2000 2078 4156 5195 5449 8312 10390 10898 16624 20780 21796 25975 27245 41560 43592 51950 54490 83120 87184 103900 108980 129875 136225 207800 217960 259750 272450 415600 435920 519500 544900 681125 1039000 1089800 1362250 2078000 2179600 2724500 5449000 5661511 10898000 11323022 22646044 28307555 45292088 56615110 90584176 113230220 141537775 226460440 283075550 452920880 566151100 707688875 1132302200 1415377750 2264604400 2830755500 5661511000 11323022000