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110414042321 = 11471237172649
BaseRepresentation
bin110011011010100110…
…0001001010011010001
3101112222221111111122212
41212311030021103101
53302111443323241
6122420140041505
710656106605632
oct1466514112321
9345887444585
10110414042321
114290a937250
1219495533295
13a548216c6b
1454b61a1889
152d13631beb
hex19b53094d1

110414042321 has 16 divisors (see below), whose sum is σ = 123114643200. Its totient is φ = 98160746880.

The previous prime is 110414042317. The next prime is 110414042363. The reversal of 110414042321 is 123240414011.

It is a cyclic number.

It is not a de Polignac number, because 110414042321 - 22 = 110414042317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110414042381) 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 15 ways as a sum of consecutive naturals, for example, 553205 + ... + 725853.

It is an arithmetic number, because the mean of its divisors is an integer number (7694665200).

Almost surely, 2110414042321 is an apocalyptic number.

110414042321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110414042321 is a deficient number, since it is larger than the sum of its proper divisors (12700600879).

110414042321 is a wasteful number, since it uses less digits than its factorization.

110414042321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173944.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 110414042321 its reverse (123240414011), we get a palindrome (233654456332).

The spelling of 110414042321 in words is "one hundred ten billion, four hundred fourteen million, forty-two thousand, three hundred twenty-one".

Divisors: 1 11 47 517 1237 13607 58139 172649 639529 1899139 8114503 89259533 213566813 2349234943 10037640211 110414042321