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220011103312 = 247111322345943
BaseRepresentation
bin1100110011100110101…
…1110000010001010000
3210000212221201001121221
43030321223300101100
512101040320301222
6245023253254424
721616036344040
oct3147153602120
9700787631557
10220011103312
1185340594310
1236781334414
13179930b3900
14a911a57720
155aca1850c7
hex3339af0450

220011103312 has 240 divisors, whose sum is σ = 600515278848. Its totient is φ = 75683013120.

The previous prime is 220011103261. The next prime is 220011103321. The reversal of 220011103312 is 213301110022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4765813 + ... + 4811755.

Almost surely, 2220011103312 is an apocalyptic number.

220011103312 is a gapful number since it is divisible by the number (22) 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 220011103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300257639424).

220011103312 is an abundant number, since it is smaller than the sum of its proper divisors (380504175536).

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

220011103312 is a wasteful number, since it uses less digits than its factorization.

220011103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46018 (or 45999 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 220011103312 its reverse (213301110022), we get a palindrome (433312213334).

It can be divided in two parts, 220011 and 103312, that added together give a palindrome (323323).

The spelling of 220011103312 in words is "two hundred twenty billion, eleven million, one hundred three thousand, three hundred twelve".