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1021313010 = 2352959101197
BaseRepresentation
bin111100110111111…
…111111111110010
32122011210002001210
4330313333333302
54042424004020
6245202140550
734211005644
oct7467777762
92564702053
101021313010
11484560643
12246051756
13133790133
14998d8894
155e9e13e0
hex3cdffff2

1021313010 has 128 divisors (see below), whose sum is σ = 2617401600. Its totient is φ = 254643200.

The previous prime is 1021313009. The next prime is 1021313047. The reversal of 1021313010 is 103131201.

It is a super-3 number, since 3×10213130103 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5184232 + ... + 5184428.

It is an arithmetic number, because the mean of its divisors is an integer number (20448450).

Almost surely, 21021313010 is an apocalyptic number.

1021313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308700800).

1021313010 is an abundant number, since it is smaller than the sum of its proper divisors (1596088590).

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

1021313010 is a wasteful number, since it uses less digits than its factorization.

1021313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1021313010 is about 31957.9882032646. The cubic root of 1021313010 is about 1007.0544543185.

Adding to 1021313010 its reverse (103131201), we get a palindrome (1124444211).

The spelling of 1021313010 in words is "one billion, twenty-one million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 101 118 145 174 177 197 202 290 295 303 354 394 435 505 590 591 606 870 885 985 1010 1182 1515 1711 1770 1970 2929 2955 3030 3422 5133 5713 5858 5910 5959 8555 8787 10266 11426 11623 11918 14645 17110 17139 17574 17877 19897 23246 25665 28565 29290 29795 34278 34869 35754 39794 43935 51330 57130 58115 59590 59691 69738 85695 87870 89385 99485 116230 119382 171390 172811 174345 178770 198970 298455 337067 345622 348690 518433 577013 596910 674134 864055 1011201 1036866 1154026 1173923 1685335 1728110 1731039 2022402 2347846 2592165 2885065 3370670 3462078 3521769 5056005 5184330 5770130 5869615 7043538 8655195 10112010 11739230 17310390 17608845 34043767 35217690 68087534 102131301 170218835 204262602 340437670 510656505 1021313010