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132114201432003 = 32719280949392851
BaseRepresentation
bin11110000010100000111100…
…000010111100111111000011
3122022202222211211222222022200
4132002200330002330333003
5114304024341031311003
61144552232024004243
736553636033314060
oct3602407402747703
9568688754888280
10132114201432003
113910635555317a
121299874a900683
1358944148a3b9b
14248a50bc1bc67
1510418d84326a3
hex78283c0bcfc3

132114201432003 has 48 divisors (see below), whose sum is σ = 229573280352000. Its totient is φ = 71520033326400.

The previous prime is 132114201432001. The next prime is 132114201432007. The reversal of 132114201432003 is 300234102411231.

132114201432003 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 4 + 201 + 432 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 132114201432003 - 21 = 132114201432001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132114201432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336099528 + ... + 336492378.

It is an arithmetic number, because the mean of its divisors is an integer number (4782776674000).

Almost surely, 2132114201432003 is an apocalyptic number.

132114201432003 is a deficient number, since it is larger than the sum of its proper divisors (97459078919997).

132114201432003 is a wasteful number, since it uses less digits than its factorization.

132114201432003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673832 (or 673829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132114201432003 its reverse (300234102411231), we get a palindrome (432348303843234).

The spelling of 132114201432003 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred one million, four hundred thirty-two thousand, three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 280949 392851 842847 1178553 1966643 2528541 2749957 3535659 5338031 5899929 7464169 8249871 16014093 17699787 22392507 24749613 37366217 48042279 52249183 67177521 112098651 156747549 336295953 470242647 110371095599 331113286797 772597669193 993339860391 2097050816381 2317793007579 6291152449143 6953379022737 14679355714667 18873457347429 44038067144001 132114201432003