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110001210012 = 22323782583491
BaseRepresentation
bin110011001110010010…
…1010100001010011100
3101111221011200110012100
41212130211110022130
53300240302210022
6122311151405100
710642634600121
oct1463445241234
9344834613170
10110001210012
11427188a7221
121939b223790
13a4b08318a5
14547741a748
152cdc2861ac
hex199c95429c

110001210012 has 36 divisors (see below), whose sum is σ = 285573715336. Its totient is φ = 35676067680.

The previous prime is 110001210001. The next prime is 110001210013. The reversal of 110001210012 is 210012100011.

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 = 110001209976 and 110001210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001210013) 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, 41290414 + ... + 41293077.

Almost surely, 2110001210012 is an apocalyptic number.

110001210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110001210012 is an abundant number, since it is smaller than the sum of its proper divisors (175572505324).

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

110001210012 is a wasteful number, since it uses less digits than its factorization.

110001210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82583538 (or 82583533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110001210012 its reverse (210012100011), we get a palindrome (320013310023).

The spelling of 110001210012 in words is "one hundred ten billion, one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 82583491 165166982 247750473 330333964 495500946 743251419 991001892 1486502838 2973005676 3055589167 6111178334 9166767501 12222356668 18333535002 27500302503 36667070004 55000605006 110001210012