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1003143141 = 3272111315907
BaseRepresentation
bin111011110010101…
…011111111100101
32120220120221200200
4323302223333211
54023301040031
6243312501113
733600401400
oct7362537745
92526527620
101003143141
11475280320
1223bb4a799
1312ca9aa30
1497328d37
155d1028e6
hex3bcabfe5

1003143141 has 72 divisors (see below), whose sum is σ = 1980355104. Its totient is φ = 480997440.

The previous prime is 1003143121. The next prime is 1003143161. The reversal of 1003143141 is 1413413001.

It is an interprime number because it is at equal distance from previous prime (1003143121) and next prime (1003143161).

It is not a de Polignac number, because 1003143141 - 26 = 1003143077 is a prime.

It is a super-2 number, since 2×10031431412 = 2012592322670691762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003143101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55110 + ... + 71016.

It is an arithmetic number, because the mean of its divisors is an integer number (27504932).

Almost surely, 21003143141 is an apocalyptic number.

1003143141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003143141 is a deficient number, since it is larger than the sum of its proper divisors (977211963).

1003143141 is a wasteful number, since it uses less digits than its factorization.

1003143141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15951 (or 15941 counting only the distinct ones).

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

The square root of 1003143141 is about 31672.4350342692. The cubic root of 1003143141 is about 1001.0466178755.

Adding to 1003143141 its reverse (1413413001), we get a palindrome (2416556142).

The spelling of 1003143141 in words is "one billion, three million, one hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 15907 21021 47721 63063 111349 143163 174977 206791 334047 524931 620373 779443 1002141 1224839 1447537 1574793 1861119 2274701 2338329 3674517 4342611 6824103 7014987 8573873 10132759 11023551 13027833 15922907 20472309 25721619 30398277 47768721 77164857 91194831 111460349 143306163 334381047 1003143141