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132203313 = 33113183173
BaseRepresentation
bin1111110000101…
…00001100110001
3100012202121212000
413320110030301
5232321001223
621041324213
73163465254
oct770241461
9305677760
10132203313
1168697340
1238336669
132150a618
14137b509b
15b916543
hex7e14331

132203313 has 64 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 76161600.

The previous prime is 132203297. The next prime is 132203321. The reversal of 132203313 is 313302231.

It is not a de Polignac number, because 132203313 - 24 = 132203297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132203353) 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 63 ways as a sum of consecutive naturals, for example, 764095 + ... + 764267.

It is an arithmetic number, because the mean of its divisors is an integer number (3507840).

Almost surely, 2132203313 is an apocalyptic number.

It is an amenable number.

132203313 is a deficient number, since it is larger than the sum of its proper divisors (92298447).

132203313 is a wasteful number, since it uses less digits than its factorization.

132203313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132203313 is about 11497.9699512566. The cubic root of 132203313 is about 509.4256163233.

Adding to 132203313 its reverse (313302231), we get a palindrome (445505544).

The spelling of 132203313 in words is "one hundred thirty-two million, two hundred three thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 31 33 83 93 99 173 249 279 297 341 519 747 837 913 1023 1557 1903 2241 2573 2739 3069 4671 5363 5709 7719 8217 9207 14359 16089 17127 23157 24651 28303 43077 48267 51381 58993 69471 84909 129231 144801 157949 176979 254727 387693 445129 473847 530937 764181 1335387 1421541 1592811 4006161 4264623 4896419 12018483 14689257 44067771 132203313