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220012011000 = 233353171313659
BaseRepresentation
bin1100110011100110111…
…1001101110111111000
3210000220000102011202000
43030321233031313320
512101041033323000
6245023324541000
721616050144255
oct3147157156770
9700800364660
10220012011000
1185341054271
12367816b1760
1317993340ac2
14a911c1242c
155aca2b4000
hex3339bcddf8

220012011000 has 512 divisors, whose sum is σ = 813960576000. Its totient is φ = 54782208000.

The previous prime is 220012010987. The next prime is 220012011029. The reversal of 220012011000 is 110210022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60127171 + ... + 60130829.

It is an arithmetic number, because the mean of its divisors is an integer number (1589766750).

Almost surely, 2220012011000 is an apocalyptic number.

220012011000 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 220012011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980288000).

220012011000 is an abundant number, since it is smaller than the sum of its proper divisors (593948565000).

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

220012011000 is a wasteful number, since it uses less digits than its factorization.

220012011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220012011000 its reverse (110210022), we get a palindrome (220122221022).

The spelling of 220012011000 in words is "two hundred twenty billion, twelve million, eleven thousand".