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10211000221100 = 22527291994615483
BaseRepresentation
bin1001010010010110111100…
…0010100111110110101100
31100011011101011101001212002
42110211233002213312230
52314244112024033400
633414511352031432
72102502050544620
oct224455702476654
940134334331762
1010211000221100
113287508474138
12118ab63392578
13590b7c44b863
1427430213b180
1512a928e9bed5
hex9496f0a7dac

10211000221100 has 288 divisors, whose sum is σ = 26390060928000. Its totient is φ = 3355299763200.

The previous prime is 10211000221087. The next prime is 10211000221109. The reversal of 10211000221100 is 112200011201.

It is not an unprimeable number, because it can be changed into a prime (10211000221109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1862298959 + ... + 1862304441.

It is an arithmetic number, because the mean of its divisors is an integer number (91632156000).

Almost surely, 210211000221100 is an apocalyptic number.

10211000221100 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 10211000221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195030464000).

10211000221100 is an abundant number, since it is smaller than the sum of its proper divisors (16179060706900).

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

10211000221100 is a wasteful number, since it uses less digits than its factorization.

10211000221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211000221100 its reverse (112200011201), we get a palindrome (10323200232301).

The spelling of 10211000221100 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one thousand, one hundred".