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1010143927 = 13217351599
BaseRepresentation
bin111100001101011…
…001001010110111
32121101202121222001
4330031121022313
54032044101202
6244122520131
734014040012
oct7415311267
92541677861
101010143927
114792220a1
12242366047
1313137c400
149822c379
155da36d87
hex3c3592b7

1010143927 has 12 divisors (see below), whose sum is σ = 1158170400. Its totient is φ = 877588608.

The previous prime is 1010143913. The next prime is 1010143943. The reversal of 1010143927 is 7293410101.

It is not a de Polignac number, because 1010143927 - 211 = 1010141879 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010143895 and 1010143904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010143427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172927 + ... + 178672.

It is an arithmetic number, because the mean of its divisors is an integer number (96514200).

Almost surely, 21010143927 is an apocalyptic number.

1010143927 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1010143927 is a deficient number, since it is larger than the sum of its proper divisors (148026473).

1010143927 is a wasteful number, since it uses less digits than its factorization.

1010143927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351642 (or 351629 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1010143927 is about 31782.7614753659. The cubic root of 1010143927 is about 1003.3699397492.

The spelling of 1010143927 in words is "one billion, ten million, one hundred forty-three thousand, nine hundred twenty-seven".

Divisors: 1 13 17 169 221 2873 351599 4570787 5977183 59420231 77703379 1010143927