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133032123 = 32717124213
BaseRepresentation
bin1111110110111…
…10100010111011
3100021022201202200
413323132202323
5233024011443
621111201243
73203516520
oct773364273
9307281680
10133032123
1169103004
1238676223
132173a943
141394d147
15ba2bdd3
hex7ede8bb

133032123 has 24 divisors (see below), whose sum is σ = 232528608. Its totient is φ = 71546112.

The previous prime is 133032121. The next prime is 133032139. The reversal of 133032123 is 321230331.

It is not a de Polignac number, because 133032123 - 21 = 133032121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133032096 and 133032105.

It is not an unprimeable number, because it can be changed into a prime (133032121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61036 + ... + 63177.

It is an arithmetic number, because the mean of its divisors is an integer number (9688692).

Almost surely, 2133032123 is an apocalyptic number.

133032123 is a deficient number, since it is larger than the sum of its proper divisors (99496485).

133032123 is a wasteful number, since it uses less digits than its factorization.

133032123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124243 (or 124240 counting only the distinct ones).

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

The square root of 133032123 is about 11533.9552192646. The cubic root of 133032123 is about 510.4879643429.

Adding to 133032123 its reverse (321230331), we get a palindrome (454262454).

The spelling of 133032123 in words is "one hundred thirty-three million, thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 124213 372639 869491 1117917 2111621 2608473 6334863 7825419 14781347 19004589 44344041 133032123