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11040123000 = 2335317316983
BaseRepresentation
bin10100100100000101…
…01110100001111000
31001111101221100122110
422102002232201320
5140102232414000
65023300052320
7540404332344
oct122202564170
931441840573
1011040123000
1147559528a5
1221813940a0
13106c33517a
1476a356624
15449367850
hex2920ae878

11040123000 has 256 divisors, whose sum is σ = 37653258240. Its totient is φ = 2681088000.

The previous prime is 11040122941. The next prime is 11040123001. The reversal of 11040123000 is 32104011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040123001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1577509 + ... + 1584491.

It is an arithmetic number, because the mean of its divisors is an integer number (147083040).

Almost surely, 211040123000 is an apocalyptic number.

11040123000 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 11040123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826629120).

11040123000 is an abundant number, since it is smaller than the sum of its proper divisors (26613135240).

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

11040123000 is a wasteful number, since it uses less digits than its factorization.

11040123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11040123000 its reverse (32104011), we get a palindrome (11072227011).

The spelling of 11040123000 in words is "eleven billion, forty million, one hundred twenty-three thousand".