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11112000000 = 29356463
BaseRepresentation
bin10100101100101001…
…11010101000000000
31001200102012002100120
422112110322220000
5140224133000000
65034344420240
7542236304313
oct122624725000
931612162316
1011112000000
114792486082
1221a1477680
1310811b013a
14775b0697a
154508146a0
hex29653aa00

11112000000 has 280 divisors, whose sum is σ = 37083275328. Its totient is φ = 2956800000.

The previous prime is 11111999953. The next prime is 11112000019. The reversal of 11112000000 is 21111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999769 + ... + 24000231.

Almost surely, 211112000000 is an apocalyptic number.

11112000000 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 11112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541637664).

11112000000 is an abundant number, since it is smaller than the sum of its proper divisors (25971275328).

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

11112000000 is an frugal number, since it uses more digits than its factorization.

11112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11112000000 its reverse (21111), we get a palindrome (11112021111).

The spelling of 11112000000 in words is "eleven billion, one hundred twelve million", and thus it is an aban number.