Search a number
-
+
10012221211100 = 2252238874907711
BaseRepresentation
bin1001000110110010011011…
…1000111000000111011100
31022110011021220121002202112
42101230212320320013130
52303020012112223400
633143315000013152
72052234114050333
oct221544670700734
938404256532675
1010012221211100
113210182945889
1211585287611b8
135781c1092a94
14268846290d1a
15125692d0c835
hex91b26e381dc

10012221211100 has 72 divisors (see below), whose sum is σ = 22696715317248. Its totient is φ = 3826443332800.

The previous prime is 10012221211051. The next prime is 10012221211117. The reversal of 10012221211100 is 111212221001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413756 + ... + 4493955.

It is an arithmetic number, because the mean of its divisors is an integer number (315232157184).

Almost surely, 210012221211100 is an apocalyptic number.

10012221211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012221211100 is an abundant number, since it is smaller than the sum of its proper divisors (12684494106148).

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

10012221211100 is a wasteful number, since it uses less digits than its factorization.

10012221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908635 (or 4908628 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012221211100 its reverse (111212221001), we get a palindrome (10123433432101).

The spelling of 10012221211100 in words is "ten trillion, twelve billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 887 1150 1774 2300 3548 4435 8870 17740 20401 22175 40802 44350 81604 88700 102005 204010 408020 510025 1020050 2040100 4907711 9815422 19630844 24538555 49077110 98154220 112877353 122692775 225754706 245385550 451509412 490771100 564386765 1128773530 2257547060 2821933825 4353139657 5643867650 8706279314 11287735300 17412558628 21765698285 43531396570 87062793140 100122212111 108828491425 200244424222 217656982850 400488848444 435313965700 500611060555 1001222121110 2002444242220 2503055302775 5006110605550 10012221211100