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1111131111200 = 2552111719439091
BaseRepresentation
bin10000001010110100100…
…100110011111100100000
310221020000122012210201112
4100022310210303330200
5121201044031024300
62210240243522452
7143163602416535
oct20126444637440
93836018183645
101111131111200
113992565aa650
1215b417689428
1380a18c1a0c6
143bac9946d8c
151dd82cdce35
hex102b4933f20

1111131111200 has 576 divisors, whose sum is σ = 3375188974080. Its totient is φ = 351848448000.

The previous prime is 1111131111197. The next prime is 1111131111221. The reversal of 1111131111200 is 21111311111.

It is a super-2 number, since 2×11111311112002 (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 122218655 + ... + 122227745.

It is an arithmetic number, because the mean of its divisors is an integer number (5859703080).

Almost surely, 21111131111200 is an apocalyptic number.

1111131111200 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 1111131111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687594487040).

1111131111200 is an abundant number, since it is smaller than the sum of its proper divisors (2264057862880).

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

1111131111200 is a wasteful number, since it uses less digits than its factorization.

1111131111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1111131111200 its reverse (21111311111), we get a palindrome (1132242422311).

It can be divided in two parts, 111 and 1131111200, that added together give a palindrome (1131111311).

The spelling of 1111131111200 in words is "one trillion, one hundred eleven billion, one hundred thirty-one million, one hundred eleven thousand, two hundred".