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2210012110000 = 2454978532671
BaseRepresentation
bin100000001010001110111…
…111001001110010110000
321211021102112200102101101
4200022032333021302300
5242202101100010000
64411133205214144
7315445105662112
oct40121677116260
97737375612341
102210012110000
11782296248462
122b8394701354
13130531c20a96
1478d725673b2
153c74a402e6a
hex2028efc9cb0

2210012110000 has 200 divisors, whose sum is σ = 5414185456064. Its totient is φ = 873538560000.

The previous prime is 2210012109997. The next prime is 2210012110003. The reversal of 2210012110000 is 112100122.

It is an interprime number because it is at equal distance from previous prime (2210012109997) and next prime (2210012110003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2210012110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 827408665 + ... + 827411335.

Almost surely, 22210012110000 is an apocalyptic number.

2210012110000 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 2210012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707092728032).

2210012110000 is an abundant number, since it is smaller than the sum of its proper divisors (3204173346064).

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

2210012110000 is an equidigital number, since it uses as much as digits as its factorization.

2210012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2210012110000 its reverse (112100122), we get a palindrome (2210124210122).

The spelling of 2210012110000 in words is "two trillion, two hundred ten billion, twelve million, one hundred ten thousand".