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111220000320 = 263511131747657
BaseRepresentation
bin110011110010100111…
…0101000011001000000
3101122002010001102012010
41213211032220121000
53310234310002240
6123032130332520
711015064255462
oct1474516503100
9348063042163
10111220000320
1143193877440
121967b42a140
13a6461a49a0
14555123c132
152d5e284280
hex19e53a8640

111220000320 has 448 divisors, whose sum is σ = 439271030016. Its totient is φ = 23423877120.

The previous prime is 111220000291. The next prime is 111220000327. The reversal of 111220000320 is 23000022111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111220000296 and 111220000305.

It is not an unprimeable number, because it can be changed into a prime (111220000327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2309932 + ... + 2357588.

It is an arithmetic number, because the mean of its divisors is an integer number (980515692).

Almost surely, 2111220000320 is an apocalyptic number.

111220000320 is a gapful number since it is divisible by the number (10) 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 111220000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219635515008).

111220000320 is an abundant number, since it is smaller than the sum of its proper divisors (328051029696).

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

111220000320 is a wasteful number, since it uses less digits than its factorization.

111220000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47718 (or 47708 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 111220000320 its reverse (23000022111), we get a palindrome (134220022431).

The spelling of 111220000320 in words is "one hundred eleven billion, two hundred twenty million, three hundred twenty", and thus it is an aban number.