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110101010112 = 2632376184691
BaseRepresentation
bin110011010001010001…
…0000001011011000000
3101112012010110211012100
41212202202001123000
53300441324310422
6122325114430400
710645256100402
oct1464242013300
9345163424170
10110101010112
114276a171545
1219408732400
13a4c84053c2
145486798b72
152ce5deb7ac
hex19a28816c0

110101010112 has 168 divisors, whose sum is σ = 329431215152. Its totient is φ = 35122636800.

The previous prime is 110101010077. The next prime is 110101010177. The reversal of 110101010112 is 211010101011.

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 = 110101010094 and 110101010103.

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 23 ways as a sum of consecutive naturals, for example, 1257687 + ... + 1342377.

Almost surely, 2110101010112 is an apocalyptic number.

110101010112 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 110101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164715607576).

110101010112 is an abundant number, since it is smaller than the sum of its proper divisors (219330205040).

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

110101010112 is a wasteful number, since it uses less digits than its factorization.

110101010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84807 (or 84794 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110101010112 its reverse (211010101011), we get a palindrome (321111111123).

It can be divided in two parts, 11010101011 and 2, that multiplied together give a palindrome (22020202022).

The spelling of 110101010112 in words is "one hundred ten billion, one hundred one million, ten thousand, one hundred twelve".