Search a number
-
+
12201110010 = 23253717592083
BaseRepresentation
bin10110101110011111…
…00010100111111010
31011111022112121102100
423113033202213322
5144441441010020
65334412044230
7611232503205
oct132717424772
934438477370
1012201110010
1151a12325a1
122446163676
1311c5a1a12b
1483a60c93c
154b6248a90
hex2d73e29fa

12201110010 has 96 divisors (see below), whose sum is σ = 32614433280. Its totient is φ = 3162374784.

The previous prime is 12201109993. The next prime is 12201110011. The reversal of 12201110010 is 1001110221.

It is a happy number.

It is a super-2 number, since 2×122011100102 (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 = 12201109974 and 12201110001.

It is not an unprimeable number, because it can be changed into a prime (12201110011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5856429 + ... + 5858511.

It is an arithmetic number, because the mean of its divisors is an integer number (339733680).

Almost surely, 212201110010 is an apocalyptic number.

12201110010 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 12201110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307216640).

12201110010 is an abundant number, since it is smaller than the sum of its proper divisors (20413323270).

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

12201110010 is a wasteful number, since it uses less digits than its factorization.

12201110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3889 counting only the distinct ones).

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

Adding to 12201110010 its reverse (1001110221), we get a palindrome (13202220231).

The spelling of 12201110010 in words is "twelve billion, two hundred one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 1759 2083 3330 3518 4166 5277 6249 8795 10415 10554 12498 15831 17590 18747 20830 26385 31245 31662 37494 52770 62490 65083 77071 79155 93735 130166 154142 158310 187470 195249 231213 325415 385355 390498 462426 585747 650830 693639 770710 976245 1156065 1171494 1387278 1952490 2312130 2928735 3468195 3663997 5857470 6936390 7327994 10991991 18319985 21983982 32975973 36639970 54959955 65951946 109919910 135567889 164879865 271135778 329759730 406703667 677839445 813407334 1220111001 1355678890 2033518335 2440222002 4067036670 6100555005 12201110010