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2003414131 = 19194954101
BaseRepresentation
bin111011101101001…
…1010110001110011
312011121202222112101
41313122122301303
513100333223011
6530444041231
7100434511345
oct16732326163
95147688471
102003414131
11938969764
1247ab33217
1325c0a1364
14150107295
15bad392c1
hex7769ac73

2003414131 has 8 divisors (see below), whose sum is σ = 2109978000. Its totient is φ = 1896962400.

The previous prime is 2003414129. The next prime is 2003414137. The reversal of 2003414131 is 1314143002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2003414131 - 21 = 2003414129 is a prime.

It is a super-2 number, since 2×20034141312 = 8027336360580970322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003414099 and 2003414108.

It is not an unprimeable number, because it can be changed into a prime (2003414137) 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 7 ways as a sum of consecutive naturals, for example, 9981 + ... + 64081.

It is an arithmetic number, because the mean of its divisors is an integer number (263747250).

Almost surely, 22003414131 is an apocalyptic number.

2003414131 is a deficient number, since it is larger than the sum of its proper divisors (106563869).

2003414131 is a wasteful number, since it uses less digits than its factorization.

2003414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56069.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2003414131 is about 44759.5144187244. The cubic root of 2003414131 is about 1260.6375649224.

Adding to 2003414131 its reverse (1314143002), we get a palindrome (3317557133).

The spelling of 2003414131 in words is "two billion, three million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 19 1949 37031 54101 1027919 105442849 2003414131