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1013132523 = 31321998289
BaseRepresentation
bin111100011000110…
…010110011101011
32121121101110112210
4330120302303223
54033330220043
6244310540203
734051325064
oct7430626353
92547343483
101013132523
1147a983507
12243367663
13131b87800
14987a956b
155de27633
hex3c632ceb

1013132523 has 12 divisors (see below), whose sum is σ = 1462748280. Its totient is φ = 623465856.

The previous prime is 1013132501. The next prime is 1013132539. The reversal of 1013132523 is 3252313101.

It is not a de Polignac number, because 1013132523 - 228 = 744697067 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013132523.

It is not an unprimeable number, because it can be changed into a prime (1013132623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 998638 + ... + 999651.

It is an arithmetic number, because the mean of its divisors is an integer number (121895690).

Almost surely, 21013132523 is an apocalyptic number.

1013132523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1013132523 is a deficient number, since it is larger than the sum of its proper divisors (449615757).

1013132523 is a wasteful number, since it uses less digits than its factorization.

1013132523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998318 (or 1998305 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1013132523 is about 31829.7427416560. The cubic root of 1013132523 is about 1004.3584836881.

Adding to 1013132523 its reverse (3252313101), we get a palindrome (4265445624).

The spelling of 1013132523 in words is "one billion, thirteen million, one hundred thirty-two thousand, five hundred twenty-three".

Divisors: 1 3 13 39 169 507 1998289 5994867 25977757 77933271 337710841 1013132523