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1066031010 = 2335112912377
BaseRepresentation
bin111111100010100…
…101011110100010
32202021220222122000
4333202211132202
54140400443020
6253440424430
735263054062
oct7742453642
92667828560
101066031010
114a7823970
12259018116
1313cb192a5
14a18193a2
15638c6090
hex3f8a57a2

1066031010 has 128 divisors (see below), whose sum is σ = 3208377600. Its totient is φ = 249500160.

The previous prime is 1066030997. The next prime is 1066031011. The reversal of 1066031010 is 101306601.

1066031010 is a `hidden beast` number, since 1 + 0 + 660 + 3 + 1 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×10660310102 = 2272844228563240200, which contains 22 as substring.

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 (1066031011) 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, 79942 + ... + 92318.

It is an arithmetic number, because the mean of its divisors is an integer number (25065450).

Almost surely, 21066031010 is an apocalyptic number.

1066031010 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 1066031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604188800).

1066031010 is an abundant number, since it is smaller than the sum of its proper divisors (2142346590).

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

1066031010 is a wasteful number, since it uses less digits than its factorization.

1066031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1066031010 is about 32650.1303213326. The cubic root of 1066031010 is about 1021.5429071530.

Adding to 1066031010 its reverse (101306601), we get a palindrome (1167337611).

The spelling of 1066031010 in words is "one billion, sixty-six million, thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1305 1485 1566 1595 1914 2610 2871 2970 3190 3915 4785 5742 7830 8613 9570 12377 14355 17226 24754 28710 37131 43065 61885 74262 86130 111393 123770 136147 185655 222786 272294 334179 358933 371310 408441 556965 668358 680735 717866 816882 1076799 1113930 1225323 1361470 1670895 1794665 2042205 2153598 2450646 3230397 3341790 3589330 3675969 3948263 4084410 5383995 6126615 6460794 7351938 7896526 9691191 10767990 11844789 12253230 16151985 18379845 19382382 19741315 23689578 32303970 35534367 36759690 39482630 48455955 59223945 71068734 96911910 106603101 118447890 177671835 213206202 355343670 533015505 1066031010