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220011000110000 = 2454117549264949
BaseRepresentation
bin110010000001100101001101…
…100000100001101110110000
31001211222211211212202001100122
4302001211031200201232300
5212314130012012010000
62055531354054105412
764225161452621111
oct6201451540415660
91054884755661318
10220011000110000
1164114160983890
122081373294b268
13959bc43508338
143c48836b80208
151a67ece9d7085
hexc8194d821bb0

220011000110000 has 200 divisors, whose sum is σ = 581172223170000. Its totient is φ = 79993100160000.

The previous prime is 220011000109951. The next prime is 220011000110009. The reversal of 220011000110000 is 11000110022.

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 (8).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 220011000110000.

It is not an unprimeable number, because it can be changed into a prime (220011000110009) 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, 830257526 + ... + 830522474.

It is an arithmetic number, because the mean of its divisors is an integer number (2905861115850).

Almost surely, 2220011000110000 is an apocalyptic number.

220011000110000 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 220011000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290586111585000).

220011000110000 is an abundant number, since it is smaller than the sum of its proper divisors (361161223060000).

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

220011000110000 is a wasteful number, since it uses less digits than its factorization.

220011000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272537 (or 272516 counting only the distinct ones).

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

Adding to 220011000110000 its reverse (11000110022), we get a palindrome (220022000220022).

The spelling of 220011000110000 in words is "two hundred twenty trillion, eleven billion, one hundred ten thousand".