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132293331 = 352918773
BaseRepresentation
bin1111110001010…
…10001011010011
3100012221012100000
413320222023103
5232331341311
621043301043
73164321562
oct770521323
9305835300
10132293331
1168748a35
123837a783
132153c5a1
14137d9bd9
15b933056
hex7e2a2d3

132293331 has 24 divisors (see below), whose sum is σ = 205012080. Its totient is φ = 85149792.

The previous prime is 132293311. The next prime is 132293339. The reversal of 132293331 is 133392231.

132293331 is a `hidden beast` number, since 1 + 322 + 9 + 3 + 331 = 666.

It is not a de Polignac number, because 132293331 - 211 = 132291283 is a prime.

It is a super-2 number, since 2×1322933312 = 35003050854151122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132293295 and 132293304.

It is not an unprimeable number, because it can be changed into a prime (132293339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2340 + ... + 16433.

It is an arithmetic number, because the mean of its divisors is an integer number (8542170).

Almost surely, 2132293331 is an apocalyptic number.

132293331 is a deficient number, since it is larger than the sum of its proper divisors (72718749).

132293331 is an equidigital number, since it uses as much as digits as its factorization.

132293331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18817 (or 18805 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 132293331 is about 11501.8838022300. The cubic root of 132293331 is about 509.5412137059.

The spelling of 132293331 in words is "one hundred thirty-two million, two hundred ninety-three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 18773 56319 168957 506871 544417 1520613 1633251 4561839 4899753 14699259 44097777 132293331