Search a number
-
+
2010222311000 = 235331293221317
BaseRepresentation
bin11101010000001010100…
…101100011011001011000
321010011201211221001110012
4131100022211203121120
5230413413402423000
64135252224341052
7265143116500031
oct35201245433130
97104654831405
102010222311000
117055920a73a2
12285717474788
1311774231b0c7
146d41c361a88
1537455650735
hex1d40a963658

2010222311000 has 128 divisors (see below), whose sum is σ = 4872253800960. Its totient is φ = 775491264000.

The previous prime is 2010222310913. The next prime is 2010222311021. The reversal of 2010222311000 is 1132220102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8972342 + ... + 9193658.

It is an arithmetic number, because the mean of its divisors is an integer number (38064482820).

Almost surely, 22010222311000 is an apocalyptic number.

2010222311000 is a gapful number since it is divisible by the number (20) 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 2010222311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436126900480).

2010222311000 is an abundant number, since it is smaller than the sum of its proper divisors (2862031489960).

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

2010222311000 is a wasteful number, since it uses less digits than its factorization.

2010222311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221662 (or 221648 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2010222311000 its reverse (1132220102), we get a palindrome (2011354531102).

The spelling of 2010222311000 in words is "two trillion, ten billion, two hundred twenty-two million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 293 310 500 586 620 775 1000 1172 1240 1465 1550 2344 2930 3100 3875 5860 6200 7325 7750 9083 11720 14650 15500 18166 29300 31000 36332 36625 45415 58600 72664 73250 90830 146500 181660 221317 227075 293000 363320 442634 454150 885268 908300 1106585 1135375 1770536 1816600 2213170 2270750 4426340 4541500 5532925 6860827 8852680 9083000 11065850 13721654 22131700 27443308 27664625 34304135 44263400 54886616 55329250 64845881 68608270 110658500 129691762 137216540 171520675 221317000 259383524 274433080 324229405 343041350 518767048 648458810 686082700 857603375 1296917620 1372165400 1621147025 1715206750 2010222311 2593835240 3242294050 3430413500 4020444622 6484588100 6860827000 8040889244 8105735125 10051111555 12969176200 16081778488 16211470250 20102223110 32422940500 40204446220 50255557775 64845881000 80408892440 100511115550 201022231100 251277788875 402044462200 502555577750 1005111155500 2010222311000