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1030540021 = 72374313219
BaseRepresentation
bin111101011011001…
…100101011110101
32122211010212010221
4331123030223311
54102304240041
6250132014341
734352305600
oct7533145365
92584125127
101030540021
11489792a75
122491613b1
13135670bc4
149ac1b337
15607152d1
hex3d6ccaf5

1030540021 has 24 divisors (see below), whose sum is σ = 1259918880. Its totient is φ = 839395872.

The previous prime is 1030540019. The next prime is 1030540061. The reversal of 1030540021 is 1200450301.

It is not a de Polignac number, because 1030540021 - 21 = 1030540019 is a prime.

It is a super-3 number, since 3×10305400213 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030539977 and 1030540004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030540061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71350 + ... + 84568.

It is an arithmetic number, because the mean of its divisors is an integer number (52496620).

Almost surely, 21030540021 is an apocalyptic number.

It is an amenable number.

1030540021 is a deficient number, since it is larger than the sum of its proper divisors (229378859).

1030540021 is a wasteful number, since it uses less digits than its factorization.

1030540021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13313 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1030540021 is about 32102.0251853368. The cubic root of 1030540021 is about 1010.0780977417.

Adding to 1030540021 its reverse (1200450301), we get a palindrome (2230990322).

The spelling of 1030540021 in words is "one billion, thirty million, five hundred forty thousand, twenty-one".

Divisors: 1 7 37 43 49 259 301 1591 1813 2107 11137 13219 77959 92533 489103 568417 647731 3423721 3978919 21031429 23966047 27852433 147220003 1030540021