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111201310000 = 2454114012521
BaseRepresentation
bin110011110010000011…
…1010101010100110000
3101122000210212211220001
41213210013111110300
53310220013410000
6123030221555344
711014446352654
oct1474407252460
9348023784801
10111201310000
11431842710a0
1219675115b54
13a64235c721
14554c974a64
152d5c7e146a
hex19e41d5530

111201310000 has 200 divisors, whose sum is σ = 294554125008. Its totient is φ = 40320000000.

The previous prime is 111201309997. The next prime is 111201310019. The reversal of 111201310000 is 13102111.

111201310000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1112013100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 39 ways as a sum of consecutive naturals, for example, 44108740 + ... + 44111260.

Almost surely, 2111201310000 is an apocalyptic number.

111201310000 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 111201310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147277062504).

111201310000 is an abundant number, since it is smaller than the sum of its proper divisors (183352815008).

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

111201310000 is a wasteful number, since it uses less digits than its factorization.

111201310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 111201310000 its reverse (13102111), we get a palindrome (111214412111).

It can be divided in two parts, 111201 and 310000, that added together give a square (421201 = 6492).

The spelling of 111201310000 in words is "one hundred eleven billion, two hundred one million, three hundred ten thousand".