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1003031141 = 71278291361
BaseRepresentation
bin111011110010010…
…000101001100101
32120220101021001112
4323302100221211
54023233444031
6243310234405
733566424020
oct7362205145
92526337045
101003031141
11475204162
1223bab5a05
1312ca5ba68
14972da1b7
155d0ce62b
hex3bc90a65

1003031141 has 16 divisors (see below), whose sum is σ = 1157591040. Its totient is φ = 851316480.

The previous prime is 1003031123. The next prime is 1003031153. The reversal of 1003031141 is 1411303001.

1003031141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1003031141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003031171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736301 + ... + 737661.

It is an arithmetic number, because the mean of its divisors is an integer number (72349440).

Almost surely, 21003031141 is an apocalyptic number.

It is an amenable number.

1003031141 is a deficient number, since it is larger than the sum of its proper divisors (154559899).

1003031141 is a wasteful number, since it uses less digits than its factorization.

1003031141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1003031141 is about 31670.6668859372. Note that the first 3 decimals coincide. The cubic root of 1003031141 is about 1001.0093611806.

Adding to 1003031141 its reverse (1411303001), we get a palindrome (2414334142).

The spelling of 1003031141 in words is "one billion, three million, thirty-one thousand, one hundred forty-one".

Divisors: 1 7 127 829 889 1361 5803 9527 105283 172847 736981 1128269 1209929 7897883 143290163 1003031141