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10211130000 = 24335459641
BaseRepresentation
bin10011000001010000…
…10111101010010000
3222100122001011001000
421200220113222100
5131403022130000
64405123542000
7511020113211
oct114050275220
928318034030
1010211130000
11436aa0a115
121b8b82a900
13c69670776
146cc201408
153eb6b5000
hex260a17a90

10211130000 has 400 divisors, whose sum is σ = 37304308800. Its totient is φ = 2672640000.

The previous prime is 10211129939. The next prime is 10211130011. The reversal of 10211130000 is 3111201.

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 (9).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 15929680 + ... + 15930320.

It is an arithmetic number, because the mean of its divisors is an integer number (93260772).

Almost surely, 210211130000 is an apocalyptic number.

10211130000 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 10211130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652154400).

10211130000 is an abundant number, since it is smaller than the sum of its proper divisors (27093178800).

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

10211130000 is an equidigital number, since it uses as much as digits as its factorization.

10211130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 710 counting only the distinct ones).

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

Adding to 10211130000 its reverse (3111201), we get a palindrome (10214241201).

The spelling of 10211130000 in words is "ten billion, two hundred eleven million, one hundred thirty thousand".