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210011102000000 = 27567411512423
BaseRepresentation
bin101111110000000100000101…
…001000100011001110000000
31000112120212100210020100022222
4233300010011020203032000
5210011310214103000000
62022353433544550212
762143541612300060
oct5760040510431600
91015525323210288
10210011102000000
1160a09232112284
121b679685182368
139024c67505972
1439c083d3b53a0
151942d0d9bda85
hexbf0105223380

210011102000000 has 896 divisors, whose sum is σ = 616566807843840. Its totient is φ = 69753600000000.

The previous prime is 210011101999991. The next prime is 210011102000009. The reversal of 210011102000000 is 201110012.

It is an interprime number because it is at equal distance from previous prime (210011101999991) and next prime (210011102000009).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011102000009) 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 111 ways as a sum of consecutive naturals, for example, 86673998789 + ... + 86674001211.

It is an arithmetic number, because the mean of its divisors is an integer number (688132598040).

Almost surely, 2210011102000000 is an apocalyptic number.

210011102000000 is a gapful number since it is divisible by the number (20) 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 210011102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308283403921920).

210011102000000 is an abundant number, since it is smaller than the sum of its proper divisors (406555705843840).

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

210011102000000 is an frugal number, since it uses more digits than its factorization.

210011102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210011102000000 its reverse (201110012), we get a palindrome (210011303110012).

The spelling of 210011102000000 in words is "two hundred ten trillion, eleven billion, one hundred two million", and thus it is an aban number.