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117012321 = 3231283163
BaseRepresentation
bin1101111100101…
…11011101100001
322011011211201200
412332113131201
5214423343241
615335551413
72620405536
oct676273541
9264154650
10117012321
11600610a8
123322b569
131b31c07a
141177cd8d
15a4154b6
hex6f97761

117012321 has 36 divisors (see below), whose sum is σ = 177834384. Its totient is φ = 74124720.

The previous prime is 117012307. The next prime is 117012323. The reversal of 117012321 is 123210711.

It is a happy number.

It is not a de Polignac number, because 117012321 - 214 = 116995937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 117012294 and 117012303.

It is not an unprimeable number, because it can be changed into a prime (117012323) 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 35 ways as a sum of consecutive naturals, for example, 717786 + ... + 717948.

It is an arithmetic number, because the mean of its divisors is an integer number (4939844).

Almost surely, 2117012321 is an apocalyptic number.

It is an amenable number.

117012321 is a deficient number, since it is larger than the sum of its proper divisors (60822063).

117012321 is a wasteful number, since it uses less digits than its factorization.

117012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 117012321 is about 10817.2233498250. The cubic root of 117012321 is about 489.1144926184.

The spelling of 117012321 in words is "one hundred seventeen million, twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 31 83 93 163 249 279 489 747 961 1467 2573 2883 5053 7719 8649 13529 15159 23157 40587 45477 79763 121761 156643 239289 419399 469929 717867 1258197 1409787 3774591 13001369 39004107 117012321