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133234431 = 311361547
BaseRepresentation
bin1111111000011…
…11111011111111
3100021201000021120
413330033323333
5233102000211
621115402023
73205321401
oct774177377
9307630246
10133234431
1169231000
1238753313
13217aba55
14139a2b71
15ba6bd06
hex7f0feff

133234431 has 32 divisors (see below), whose sum is σ = 198963456. Its totient is φ = 79279200.

The previous prime is 133234429. The next prime is 133234433. The reversal of 133234431 is 134432331.

It is an interprime number because it is at equal distance from previous prime (133234429) and next prime (133234433).

It is not a de Polignac number, because 133234431 - 21 = 133234429 is a prime.

It is a super-3 number, since 3×1332344313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133234433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243300 + ... + 243846.

It is an arithmetic number, because the mean of its divisors is an integer number (6217608).

Almost surely, 2133234431 is an apocalyptic number.

133234431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133234431 is a deficient number, since it is larger than the sum of its proper divisors (65729025).

133234431 is an equidigital number, since it uses as much as digits as its factorization.

133234431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 622 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 133234431 is about 11542.7219926671. The cubic root of 133234431 is about 510.7466073655.

Adding to 133234431 its reverse (134432331), we get a palindrome (267666762).

The spelling of 133234431 in words is "one hundred thirty-three million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 61 121 183 363 547 671 1331 1641 2013 3993 6017 7381 18051 22143 33367 66187 81191 100101 198561 243573 367037 728057 1101111 2184171 4037407 12112221 44411477 133234431