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1003000141 = 111346315149
BaseRepresentation
bin111011110010001…
…001000101001101
32120220022200112101
4323302021011031
54023232001031
6243305435101
733566234443
oct7362110515
92526280471
101003000141
11475192940
1223ba9ba91
1312ca4a910
14972ccb93
155d0c5361
hex3bc8914d

1003000141 has 16 divisors (see below), whose sum is σ = 1180972800. Its totient is φ = 839805120.

The previous prime is 1003000129. The next prime is 1003000151. The reversal of 1003000141 is 1410003001.

It is a happy number.

1003000141 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-1003000141 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 (1003000111) 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, 58635 + ... + 73783.

It is an arithmetic number, because the mean of its divisors is an integer number (73810800).

Almost surely, 21003000141 is an apocalyptic number.

1003000141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003000141 is a deficient number, since it is larger than the sum of its proper divisors (177972659).

1003000141 is a wasteful number, since it uses less digits than its factorization.

1003000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15636.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1003000141 is about 31670.1774702953. The cubic root of 1003000141 is about 1000.9990485696. Note that the first 3 decimals are identical.

Adding to 1003000141 its reverse (1410003001), we get a palindrome (2413003142).

The spelling of 1003000141 in words is "one billion, three million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 11 13 143 463 5093 6019 15149 66209 166639 196937 2166307 7013987 77153857 91181831 1003000141