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11323122000 = 2435317313581
BaseRepresentation
bin10101000101110100…
…10010000101010000
31002020010110012021220
422202322102011100
5141142204401000
65111325445040
7550411643331
oct124272220520
932203405256
1011323122000
114890675173
122240110780
1310b5b5c8b8
14795b82288
154641191a0
hex2a2e92150

11323122000 has 320 divisors, whose sum is σ = 39911159808. Its totient is φ = 2749440000.

The previous prime is 11323121959. The next prime is 11323122001. The reversal of 11323122000 is 22132311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323122001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3160210 + ... + 3163790.

Almost surely, 211323122000 is an apocalyptic number.

11323122000 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 11323122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955579904).

11323122000 is an abundant number, since it is smaller than the sum of its proper divisors (28588037808).

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

11323122000 is a wasteful number, since it uses less digits than its factorization.

11323122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11323122000 its reverse (22132311), we get a palindrome (11345254311).

The spelling of 11323122000 in words is "eleven billion, three hundred twenty-three million, one hundred twenty-two thousand".