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221030120322000 = 243253118912542851
BaseRepresentation
bin110010010000011010010101…
…110011100111001111010000
31001222121021101010012212211200
4302100122111303213033100
5212432324141300301000
62102031500245111200
764361620300526343
oct6220322563471720
91058537333185750
10221030120322000
1164477390750a80
12209591500b8500
139644087b10b92
143c81cb46d445a
151a84779b31500
hexc90695ce73d0

221030120322000 has 480 divisors, whose sum is σ = 851627541098880. Its totient is φ = 52980998400000.

The previous prime is 221030120321971. The next prime is 221030120322029. The reversal of 221030120322000 is 223021030122.

221030120322000 is a `hidden beast` number, since 2 + 21 + 0 + 301 + 20 + 322 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221030120321971) and next prime (221030120322029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 11350575 + ... + 23893425.

It is an arithmetic number, because the mean of its divisors is an integer number (1774224043956).

Almost surely, 2221030120322000 is an apocalyptic number.

221030120322000 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 221030120322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425813770549440).

221030120322000 is an abundant number, since it is smaller than the sum of its proper divisors (630597420776880).

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

221030120322000 is a wasteful number, since it uses less digits than its factorization.

221030120322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12542980 (or 12542961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221030120322000 its reverse (223021030122), we get a palindrome (221253141352122).

The spelling of 221030120322000 in words is "two hundred twenty-one trillion, thirty billion, one hundred twenty million, three hundred twenty-two thousand".