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112480401 = 3116171787
BaseRepresentation
bin1101011010001…
…01000010010001
321211122121002210
412231011002101
5212243333101
615054502333
72534032125
oct655050221
9254577083
10112480401
1158546210
12318049a9
131a3c3367
1410d1d585
159d1c7d6
hex6b45091

112480401 has 32 divisors (see below), whose sum is σ = 168846336. Its totient is φ = 66024000.

The previous prime is 112480391. The next prime is 112480411. The reversal of 112480401 is 104084211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112480391) and next prime (112480411).

It is not a de Polignac number, because 112480401 - 213 = 112472209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112480411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142530 + ... + 143316.

It is an arithmetic number, because the mean of its divisors is an integer number (5276448).

Almost surely, 2112480401 is an apocalyptic number.

112480401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112480401 is a deficient number, since it is larger than the sum of its proper divisors (56365935).

112480401 is a wasteful number, since it uses less digits than its factorization.

112480401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 112480401 is about 10605.6777718352. The cubic root of 112480401 is about 482.7166571541.

The spelling of 112480401 in words is "one hundred twelve million, four hundred eighty thousand, four hundred one".

Divisors: 1 3 11 33 61 71 183 213 671 781 787 2013 2343 2361 4331 8657 12993 25971 47641 48007 55877 142923 144021 167631 528077 614647 1584231 1843941 3408497 10225491 37493467 112480401