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10211110000 = 24547313229
BaseRepresentation
bin10011000001010000…
…10010110001110000
3222100122000010121021
421200220102301300
5131403021010000
64405123305224
7511020001000
oct114050226160
928318003537
1010211110000
11436a9a6093
121b8b81b214
13c69664630
146cc1d8000
153eb6ae11a
hex260a12c70

10211110000 has 400 divisors, whose sum is σ = 31183768000. Its totient is φ = 3217536000.

The previous prime is 10211109971. The next prime is 10211110037. The reversal of 10211110000 is 1111201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44589886 + ... + 44590114.

It is an arithmetic number, because the mean of its divisors is an integer number (77959420).

Almost surely, 210211110000 is an apocalyptic number.

10211110000 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 10211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591884000).

10211110000 is an abundant number, since it is smaller than the sum of its proper divisors (20972658000).

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

10211110000 is an equidigital number, since it uses as much as digits as its factorization.

10211110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10211110000 its reverse (1111201), we get a palindrome (10212221201).

The spelling of 10211110000 in words is "ten billion, two hundred eleven million, one hundred ten thousand".