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1003142133 = 32761261031
BaseRepresentation
bin111011110010101…
…011101111110101
32120220120220022100
4323302223233311
54023301022013
6243312452313
733600365430
oct7362535765
92526526270
101003142133
1147527a594
1223bb4a099
1312ca9a436
1497328817
155d102473
hex3bcabbf5

1003142133 has 24 divisors (see below), whose sum is σ = 1683134336. Its totient is φ = 563824800.

The previous prime is 1003142111. The next prime is 1003142143. The reversal of 1003142133 is 3312413001.

It is not a de Polignac number, because 1003142133 - 28 = 1003141877 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 (1003142143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126673 + ... + 134358.

Almost surely, 21003142133 is an apocalyptic number.

It is an amenable number.

1003142133 is a deficient number, since it is larger than the sum of its proper divisors (679992203).

1003142133 is a wasteful number, since it uses less digits than its factorization.

1003142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261105 (or 261102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1003142133 is about 31672.4191213744. The cubic root of 1003142133 is about 1001.0462825776.

Adding to 1003142133 its reverse (3312413001), we get a palindrome (4315555134).

The spelling of 1003142133 in words is "one billion, three million, one hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 261031 783093 1827217 2349279 5481651 15922891 16444953 47768673 111460237 143306019 334380711 1003142133