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1029491021 = 13137578041
BaseRepresentation
bin111101010111001…
…100100101001101
32122202011120012002
4331113030211031
54102022203041
6250053322045
734340346356
oct7527144515
92582146162
101029491021
11489136929
12248936325
131353945b0
149aa26d2d
15605a959b
hex3d5cc94d

1029491021 has 8 divisors (see below), whose sum is σ = 1116777144. Its totient is φ = 943361280.

The previous prime is 1029491009. The next prime is 1029491053. The reversal of 1029491021 is 1201949201.

It can be written as a sum of positive squares in 4 ways, for example, as 334377796 + 695113225 = 18286^2 + 26365^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1029491021 - 214 = 1029474637 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 (1029491521) 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 7 ways as a sum of consecutive naturals, for example, 287240 + ... + 290801.

It is an arithmetic number, because the mean of its divisors is an integer number (139597143).

Almost surely, 21029491021 is an apocalyptic number.

It is an amenable number.

1029491021 is a deficient number, since it is larger than the sum of its proper divisors (87286123).

1029491021 is a wasteful number, since it uses less digits than its factorization.

1029491021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578191.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1029491021 is about 32085.6824923516. The cubic root of 1029491021 is about 1009.7352575402.

The spelling of 1029491021 in words is "one billion, twenty-nine million, four hundred ninety-one thousand, twenty-one".

Divisors: 1 13 137 1781 578041 7514533 79191617 1029491021