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11112001320 = 2335737477607
BaseRepresentation
bin10100101100101001…
…11010111100101000
31001200102012011011110
422112110322330220
5140224133020240
65034344430320
7542236311210
oct122624727450
931612164143
1011112001320
114792487072
1221a14783a0
1310811b0914
14775b07240
15450814c80
hex29653af28

11112001320 has 256 divisors, whose sum is σ = 39965736960. Its totient is φ = 2418342912.

The previous prime is 11112001309. The next prime is 11112001321. The reversal of 11112001320 is 2310021111.

11112001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11112001296 and 11112001305.

It is not an unprimeable number, because it can be changed into a prime (11112001321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1456957 + ... + 1464563.

It is an arithmetic number, because the mean of its divisors is an integer number (156116160).

Almost surely, 211112001320 is an apocalyptic number.

11112001320 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 11112001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982868480).

11112001320 is an abundant number, since it is smaller than the sum of its proper divisors (28853735640).

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

11112001320 is a wasteful number, since it uses less digits than its factorization.

11112001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7708 counting only the distinct ones).

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

Adding to 11112001320 its reverse (2310021111), we get a palindrome (13422022431).

The spelling of 11112001320 in words is "eleven billion, one hundred twelve million, one thousand, three hundred twenty".