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12103110000 = 243254891511
BaseRepresentation
bin10110100010110011…
…01100110101110000
31011020111010200200100
423101121230311300
5144241344010000
65320551352400
7605632510662
oct132131546560
934214120610
1012103110000
115150987753
122419382700
1311ab626a67
1482b5bc532
154ac83ba00
hex2d166cd70

12103110000 has 300 divisors, whose sum is σ = 42830227440. Its totient is φ = 3189120000.

The previous prime is 12103109989. The next prime is 12103110017. The reversal of 12103110000 is 1130121.

12103110000 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 (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 8009245 + ... + 8010755.

Almost surely, 212103110000 is an apocalyptic number.

12103110000 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 12103110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415113720).

12103110000 is an abundant number, since it is smaller than the sum of its proper divisors (30727117440).

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

12103110000 is a wasteful number, since it uses less digits than its factorization.

12103110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12103110000 its reverse (1130121), we get a palindrome (12104240121).

The spelling of 12103110000 in words is "twelve billion, one hundred three million, one hundred ten thousand".