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321132114 = 2348922273
BaseRepresentation
bin10011001001000…
…001011001010010
3211101021012110000
4103021001121102
51124202211424
651510550430
710646402142
oct2311013122
9741235400
10321132114
111552a8346
128b668416
13516b9604
1430914922
151d2d53c9
hex13241652

321132114 has 40 divisors (see below), whose sum is σ = 727691580. Its totient is φ = 105836544.

The previous prime is 321132047. The next prime is 321132137. The reversal of 321132114 is 411231123.

It can be written as a sum of positive squares in 2 ways, for example, as 237683889 + 83448225 = 15417^2 + 9135^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3282 + ... + 25554.

Almost surely, 2321132114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321132114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363845790).

321132114 is an abundant number, since it is smaller than the sum of its proper divisors (406559466).

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

321132114 is a wasteful number, since it uses less digits than its factorization.

321132114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22376 (or 22367 counting only the distinct ones).

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

The square root of 321132114 is about 17920.1594300944. The cubic root of 321132114 is about 684.7960491796.

Adding to 321132114 its reverse (411231123), we get a palindrome (732363237).

Subtracting 321132114 from its reverse (411231123), we obtain a palindrome (90099009).

The spelling of 321132114 in words is "three hundred twenty-one million, one hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1602 2403 4806 7209 14418 22273 44546 66819 133638 200457 400914 601371 1202742 1804113 1982297 3608226 3964594 5946891 11893782 17840673 35681346 53522019 107044038 160566057 321132114