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110400012 = 223227711071
BaseRepresentation
bin1101001010010…
…01001000001100
321200201220100100
412211021020030
5211230300022
614542131100
72510245632
oct645111014
9250656310
10110400012
1157355188
1230b80a90
1319b45468
141093b352
159a5b1ac
hex694920c

110400012 has 36 divisors (see below), whose sum is σ = 280099456. Its totient is φ = 36663840.

The previous prime is 110400001. The next prime is 110400019. The reversal of 110400012 is 210004011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 110399967 and 110400003.

It is not an unprimeable number, because it can be changed into a prime (110400019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4437 + ... + 15507.

Almost surely, 2110400012 is an apocalyptic number.

110400012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110400012 is an abundant number, since it is smaller than the sum of its proper divisors (169699444).

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

110400012 is a wasteful number, since it uses less digits than its factorization.

110400012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358 (or 11353 counting only the distinct ones).

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

The square root of 110400012 is about 10507.1410002912. The cubic root of 110400012 is about 479.7220786972.

Adding to 110400012 its reverse (210004011), we get a palindrome (320404023).

The spelling of 110400012 in words is "one hundred ten million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 4986 9972 11071 22142 33213 44284 66426 99639 132852 199278 398556 3066667 6133334 9200001 12266668 18400002 27600003 36800004 55200006 110400012