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1329999231 = 311311300097
BaseRepresentation
bin100111101000110…
…0010110101111111
310102200121221221210
41033101202311333
510210434433411
6335550255503
744646543531
oct11721426577
93380557853
101329999231
11622828120
123114b7593
1318270c7c2
14c88cd851
157bb68ca6
hex4f462d7f

1329999231 has 16 divisors (see below), whose sum is σ = 1996950528. Its totient is φ = 780057600.

The previous prime is 1329999197. The next prime is 1329999239.

1329999231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1329999231 - 211 = 1329997183 is a prime.

It is a super-2 number, since 2×13299992312 = 3537795908921182722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329999239) 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 15 ways as a sum of consecutive naturals, for example, 649026 + ... + 651071.

It is an arithmetic number, because the mean of its divisors is an integer number (124809408).

Almost surely, 21329999231 is an apocalyptic number.

1329999231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1329999231 is a deficient number, since it is larger than the sum of its proper divisors (666951297).

1329999231 is a wasteful number, since it uses less digits than its factorization.

1329999231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300142.

The product of its digits is 236196, while the sum is 48.

The square root of 1329999231 is about 36469.1545144661. The cubic root of 1329999231 is about 1099.7242369343.

The spelling of 1329999231 in words is "one billion, three hundred twenty-nine million, nine hundred ninety-nine thousand, two hundred thirty-one".

Divisors: 1 3 11 31 33 93 341 1023 1300097 3900291 14301067 40303007 42903201 120909021 443333077 1329999231