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114132321 = 341409041
BaseRepresentation
bin1101100110110…
…00010101100001
321221202112010000
412303120111201
5213204213241
615154130213
72554052202
oct663302541
9257675100
10114132321
1159474336
1232280969
131a851224
141122d5a9
15a046eb6
hex6cd8561

114132321 has 10 divisors (see below), whose sum is σ = 170494082. Its totient is φ = 76088160.

The previous prime is 114132307. The next prime is 114132329. The reversal of 114132321 is 123231411.

It can be written as a sum of positive squares in only one way, i.e., 112784400 + 1347921 = 10620^2 + 1161^2 .

It is not a de Polignac number, because 114132321 - 215 = 114099553 is a prime.

It is a super-4 number, since 4×1141323214 (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114132294 and 114132303.

It is not an unprimeable number, because it can be changed into a prime (114132329) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 704440 + ... + 704601.

Almost surely, 2114132321 is an apocalyptic number.

It is an amenable number.

114132321 is a deficient number, since it is larger than the sum of its proper divisors (56361761).

114132321 is an equidigital number, since it uses as much as digits as its factorization.

114132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409053 (or 1409044 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 114132321 is about 10683.2729535475. The cubic root of 114132321 is about 485.0682881137.

Adding to 114132321 its reverse (123231411), we get a palindrome (237363732).

The spelling of 114132321 in words is "one hundred fourteen million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 1409041 4227123 12681369 38044107 114132321