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1002021021 = 321729534261
BaseRepresentation
bin111011101110011…
…010000010011101
32120211110221102200
4323232122002131
54023004133041
6243232442113
733555016041
oct7356320235
92524427380
101002021021
11474684251
1223b6a9339
1312c797061
1497116021
155ce801b6
hex3bb9a09d

1002021021 has 48 divisors (see below), whose sum is σ = 1615638960. Its totient is φ = 595445760.

The previous prime is 1002021001. The next prime is 1002021037. The reversal of 1002021021 is 1201202001.

It can be written as a sum of positive squares in 8 ways, for example, as 296321796 + 705699225 = 17214^2 + 26565^2 .

It is not a de Polignac number, because 1002021021 - 25 = 1002020989 is a prime.

It is a super-2 number, since 2×10020210212 = 2008092253051764882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002020994 and 1002021012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021001) 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 47 ways as a sum of consecutive naturals, for example, 233031 + ... + 237291.

It is an arithmetic number, because the mean of its divisors is an integer number (33659145).

Almost surely, 21002021021 is an apocalyptic number.

It is an amenable number.

1002021021 is a deficient number, since it is larger than the sum of its proper divisors (613617939).

1002021021 is a wasteful number, since it uses less digits than its factorization.

1002021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002021021 is about 31654.7156202674. The cubic root of 1002021021 is about 1000.6732203393.

Adding to 1002021021 its reverse (1201202001), we get a palindrome (2203223022).

The spelling of 1002021021 in words is "one billion, two million, twenty-one thousand, twenty-one".

Divisors: 1 3 9 17 29 51 53 87 153 159 261 477 493 901 1479 1537 2703 4261 4437 4611 8109 12783 13833 26129 38349 72437 78387 123569 217311 225833 235161 370707 651933 677499 1112121 2032497 2100673 3839161 6302019 6549157 11517483 18906057 19647471 34552449 58942413 111335669 334007007 1002021021