Search a number
-
+
12201110000 = 24542514861
BaseRepresentation
bin10110101110011111…
…00010100111110000
31011111022112121101222
423113033202213300
5144441441010000
65334412044212
7611232503162
oct132717424760
934438477358
1012201110000
1151a1232592
122446163668
1311c5a1a121
1483a60c932
154b6248a85
hex2d73e29f0

12201110000 has 100 divisors (see below), whose sum is σ = 29663898264. Its totient is φ = 4860000000.

The previous prime is 12201109993. The next prime is 12201110011. The reversal of 12201110000 is 1110221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12201110000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2507570 + ... + 2512430.

Almost surely, 212201110000 is an apocalyptic number.

12201110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831949132).

12201110000 is an abundant number, since it is smaller than the sum of its proper divisors (17462788264).

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

12201110000 is an equidigital number, since it uses as much as digits as its factorization.

12201110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12201110000 its reverse (1110221), we get a palindrome (12202220221).

The spelling of 12201110000 in words is "twelve billion, two hundred one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 251 400 500 502 625 1000 1004 1250 1255 2000 2008 2500 2510 4016 4861 5000 5020 6275 9722 10000 10040 12550 19444 20080 24305 25100 31375 38888 48610 50200 62750 77776 97220 100400 121525 125500 156875 194440 243050 251000 313750 388880 486100 502000 607625 627500 972200 1215250 1220111 1255000 1944400 2430500 2440222 2510000 3038125 4861000 4880444 6076250 6100555 9722000 9760888 12152500 12201110 19521776 24305000 24402220 30502775 48610000 48804440 61005550 97608880 122011100 152513875 244022200 305027750 488044400 610055500 762569375 1220111000 1525138750 2440222000 3050277500 6100555000 12201110000