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11201021010 = 234546329867
BaseRepresentation
bin10100110111010001…
…00000010001010010
31001220121200211020000
422123220200101102
5140414430133020
65051244430430
7544400051634
oct123350402122
931817624200
1011201021010
114828758963
122207248416
13109677b5aa
1478387aa54
1545854b090
hex29ba20452

11201021010 has 80 divisors (see below), whose sum is σ = 30184361856. Its totient is φ = 2980387872.

The previous prime is 11201021009. The next prime is 11201021011. The reversal of 11201021010 is 1012010211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11201021009) and next prime (11201021011).

It is a super-2 number, since 2×112010210102 (a number of 21 digits) 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 = 11201020983 and 11201021001.

It is not an unprimeable number, because it can be changed into a prime (11201021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360097 + ... + 389963.

Almost surely, 211201021010 is an apocalyptic number.

11201021010 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 11201021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092180928).

11201021010 is an abundant number, since it is smaller than the sum of its proper divisors (18983340846).

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

11201021010 is a wasteful number, since it uses less digits than its factorization.

11201021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30349 (or 30340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11201021010 its reverse (1012010211), we get a palindrome (12213031221).

The spelling of 11201021010 in words is "eleven billion, two hundred one million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 463 810 926 1389 2315 2778 4167 4630 6945 8334 12501 13890 20835 25002 29867 37503 41670 59734 62505 75006 89601 125010 149335 179202 187515 268803 298670 375030 448005 537606 806409 896010 1344015 1612818 2419227 2688030 4032045 4838454 8064090 12096135 13828421 24192270 27656842 41485263 69142105 82970526 124455789 138284210 207426315 248911578 373367367 414852630 622278945 746734734 1120102101 1244557890 1866836835 2240204202 3733673670 5600510505 11201021010