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10111443143112 = 233223103269322013
BaseRepresentation
bin1001001100100100000011…
…1110100000100111001000
31022210122101212011111101100
42103021000332200213020
52311131213421034422
633301044410221400
72062345662416133
oct223110076404710
938718355144340
1010111443143112
11324926a05a993
1211737b9a24860
1358467462b25c
1426d579c5521a
1512804daa37ac
hex93240fa09c8

10111443143112 has 192 divisors, whose sum is σ = 28865278091520. Its totient is φ = 3191307508224.

The previous prime is 10111443143099. The next prime is 10111443143143. The reversal of 10111443143112 is 21134134411101.

10111443143112 is a `hidden beast` number, since 1 + 0 + 1 + 114 + 431 + 4 + 3 + 112 = 666.

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 47 ways as a sum of consecutive naturals, for example, 459328618 + ... + 459350630.

It is an arithmetic number, because the mean of its divisors is an integer number (150339990060).

Almost surely, 210111443143112 is an apocalyptic number.

10111443143112 is a gapful number since it is divisible by the number (12) 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 10111443143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432639045760).

10111443143112 is an abundant number, since it is smaller than the sum of its proper divisors (18753834948408).

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

10111443143112 is a wasteful number, since it uses less digits than its factorization.

10111443143112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24844 (or 24837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10111443143112 its reverse (21134134411101), we get a palindrome (31245577554213).

The spelling of 10111443143112 in words is "ten trillion, one hundred eleven billion, four hundred forty-three million, one hundred forty-three thousand, one hundred twelve".