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1403103141 = 35111314007
BaseRepresentation
bin101001110100001…
…1010011110100101
310121210012000200000
41103220122132211
510333143300031
6351121211513
746525115466
oct12350323645
93553160600
101403103141
11660019180
12331a90b99
131948c705b
14d44bcd6d
15832a93e6
hex53a1a7a5

1403103141 has 48 divisors (see below), whose sum is σ = 2310916608. Its totient is φ = 843663600.

The previous prime is 1403103133. The next prime is 1403103199. The reversal of 1403103141 is 1413013041.

1403103141 is a `hidden beast` number, since 1 + 40 + 310 + 314 + 1 = 666.

It is not a de Polignac number, because 1403103141 - 23 = 1403103133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403103841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348160 + ... + 352166.

It is an arithmetic number, because the mean of its divisors is an integer number (48144096).

Almost surely, 21403103141 is an apocalyptic number.

1403103141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1403103141 is a deficient number, since it is larger than the sum of its proper divisors (907813467).

1403103141 is a wasteful number, since it uses less digits than its factorization.

1403103141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4152 counting only the distinct ones).

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

The square root of 1403103141 is about 37458.0183805817. The cubic root of 1403103141 is about 1119.5148677527.

Adding to 1403103141 its reverse (1413013041), we get a palindrome (2816116182).

The spelling of 1403103141 in words is "one billion, four hundred three million, one hundred three thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 131 243 297 393 891 1179 1441 2673 3537 4007 4323 10611 12021 12969 31833 36063 38907 44077 108189 116721 132231 324567 350163 396693 524917 973701 1190079 1574751 3570237 4724253 5774087 10710711 14172759 17322261 42518277 51966783 127554831 155900349 467701047 1403103141