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110001000042 = 23219321640351
BaseRepresentation
bin110011001110010010…
…0100000111001101010
3101111221011021210011200
41212130210200321222
53300240224000132
6122311143105030
710642633034013
oct1463444407152
9344834253150
10110001000042
114271877349a
121939b142176
13a4b078a14b
1454773a400a
152cdc243d7c
hex199c920e6a

110001000042 has 24 divisors (see below), whose sum is σ = 250879474560. Its totient is φ = 34737157800.

The previous prime is 110001000019. The next prime is 110001000047. The reversal of 110001000042 is 240000100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000999988 and 110001000033.

It is not an unprimeable number, because it can be changed into a prime (110001000047) 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 11 ways as a sum of consecutive naturals, for example, 160819834 + ... + 160820517.

It is an arithmetic number, because the mean of its divisors is an integer number (10453311440).

Almost surely, 2110001000042 is an apocalyptic number.

110001000042 is an abundant number, since it is smaller than the sum of its proper divisors (140878474518).

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

110001000042 is a wasteful number, since it uses less digits than its factorization.

110001000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321640378 (or 321640375 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110001000042 its reverse (240000100011), we get a palindrome (350001100053).

The spelling of 110001000042 in words is "one hundred ten billion, one million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 321640351 643280702 964921053 1929842106 2894763159 5789526318 6111166669 12222333338 18333500007 36667000014 55000500021 110001000042