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1003314141 = 33437910939
BaseRepresentation
bin111011110011010…
…101101111011101
32120220220122021000
4323303111233131
54023322023031
6243320300513
733602013054
oct7363255735
92526818230
101003314141
11475387845
12240011739
1312cb2a80b
149737139b
155d1383e6
hex3bcd5bdd

1003314141 has 32 divisors (see below), whose sum is σ = 1540352000. Its totient is φ = 644991984.

The previous prime is 1003314139. The next prime is 1003314161. The reversal of 1003314141 is 1414133001.

It is not a de Polignac number, because 1003314141 - 21 = 1003314139 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 (1003314161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86250 + ... + 97188.

It is an arithmetic number, because the mean of its divisors is an integer number (48136000).

Almost surely, 21003314141 is an apocalyptic number.

It is an amenable number.

1003314141 is a deficient number, since it is larger than the sum of its proper divisors (537037859).

1003314141 is a wasteful number, since it uses less digits than its factorization.

1003314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1003314141 is about 31675.1344274969. The cubic root of 1003314141 is about 1001.1034955164.

Adding to 1003314141 its reverse (1414133001), we get a palindrome (2417447142).

The spelling of 1003314141 in words is "one billion, three million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 43 79 129 237 387 711 1161 2133 3397 10191 10939 30573 32817 91719 98451 295353 470377 864181 1411131 2592543 4233393 7777629 12700179 23332887 37159783 111479349 334438047 1003314141