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2001352131 = 37915113
BaseRepresentation
bin111011101001010…
…0011010111000011
312011110220020000000
41313102203113003
513044321232011
6530331531043
7100411132602
oct16722432703
95143806000
102001352131
11937790529
1247a2b9a83
1325b82b93c
1414db2ba39
15baa7d356
hex774a35c3

2001352131 has 16 divisors (see below), whose sum is σ = 3001573920. Its totient is φ = 1334233296.

The previous prime is 2001352121. The next prime is 2001352187. The reversal of 2001352131 is 1312531002.

It is not a de Polignac number, because 2001352131 - 215 = 2001319363 is a prime.

It is a super-2 number, since 2×20013521312 = 8010820704516482322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001352121) 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 15 ways as a sum of consecutive naturals, for example, 455370 + ... + 459743.

It is an arithmetic number, because the mean of its divisors is an integer number (187598370).

Almost surely, 22001352131 is an apocalyptic number.

2001352131 is a deficient number, since it is larger than the sum of its proper divisors (1000221789).

2001352131 is an frugal number, since it uses more digits than its factorization.

2001352131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915134 (or 915116 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2001352131 is about 44736.4742799430. The cubic root of 2001352131 is about 1260.2049156521.

Adding to 2001352131 its reverse (1312531002), we get a palindrome (3313883133).

The spelling of 2001352131 in words is "two billion, one million, three hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 243 729 2187 915113 2745339 8236017 24708051 74124153 222372459 667117377 2001352131