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1021422042 = 233235359263
BaseRepresentation
bin111100111000011…
…010100111011010
32122011222121122000
4330320122213122
54042441001132
6245204341430
734211641554
oct7470324732
92564877560
101021422042
11484625553
122460a4876
131337ca954
14999264d4
155ea1387c
hex3ce1a9da

1021422042 has 128 divisors (see below), whose sum is σ = 2463436800. Its totient is φ = 312916032.

The previous prime is 1021422041. The next prime is 1021422089. The reversal of 1021422042 is 2402241201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1021422041) 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 63 ways as a sum of consecutive naturals, for example, 3883603 + ... + 3883865.

It is an arithmetic number, because the mean of its divisors is an integer number (19245600).

Almost surely, 21021422042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021422042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231718400).

1021422042 is an abundant number, since it is smaller than the sum of its proper divisors (1442014758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021422042 is a wasteful number, since it uses less digits than its factorization.

1021422042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1021422042 is about 31959.6940223150. The cubic root of 1021422042 is about 1007.0902896446.

Adding to 1021422042 its reverse (2402241201), we get a palindrome (3423663243).

The spelling of 1021422042 in words is "one billion, twenty-one million, four hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 59 69 106 118 138 159 177 207 263 318 354 414 477 526 531 621 789 954 1062 1219 1242 1357 1431 1578 1593 2367 2438 2714 2862 3127 3186 3657 4071 4734 6049 6254 7101 7314 8142 9381 10971 12098 12213 13939 14202 15517 18147 18762 21942 24426 27878 28143 31034 32913 36294 36639 41817 46551 54441 56286 65826 71921 73278 83634 84429 93102 108882 125451 139653 143842 163323 168858 215763 250902 279306 320597 326646 356891 376353 418959 431526 641194 647289 713782 752706 822401 837918 961791 1070673 1294578 1644802 1923582 1941867 2141346 2467203 2885373 3212019 3883734 4934406 5770746 6424038 7401609 8656119 9636057 14803218 17312238 18915223 19272114 22204827 37830446 44409654 56745669 113491338 170237007 340474014 510711021 1021422042