Search a number
-
+
2102200322100 = 223528713804239
BaseRepresentation
bin11110100101110100111…
…001110100100000110100
321102222010221210010200220
4132211310321310200310
5233420301240301400
64245423144334340
7304610324623554
oct36456471644064
97388127703626
102102200322100
117405a13064aa
1229b5067743b0
1312330cb88c48
1473a65c33164
1539a3a4997a0
hex1e974e74834

2102200322100 has 72 divisors (see below), whose sum is σ = 6083071908480. Its totient is φ = 560521716480.

The previous prime is 2102200322099. The next prime is 2102200322179. The reversal of 2102200322100 is 12230022012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102200322100.

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, 2211781 + ... + 3016019.

It is an arithmetic number, because the mean of its divisors is an integer number (84487109840).

Almost surely, 22102200322100 is an apocalyptic number.

2102200322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102200322100 is an abundant number, since it is smaller than the sum of its proper divisors (3980871586380).

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

2102200322100 is a wasteful number, since it uses less digits than its factorization.

2102200322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812969 (or 812962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2102200322100 its reverse (12230022012), we get a palindrome (2114430344112).

The spelling of 2102200322100 in words is "two trillion, one hundred two billion, two hundred million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8713 17426 26139 34852 43565 52278 87130 104556 130695 174260 217825 261390 435650 522780 653475 804239 871300 1306950 1608478 2412717 2613900 3216956 4021195 4825434 8042390 9650868 12063585 16084780 20105975 24127170 40211950 48254340 60317925 80423900 120635850 241271700 7007334407 14014668814 21022003221 28029337628 35036672035 42044006442 70073344070 84088012884 105110016105 140146688140 175183360175 210220032210 350366720350 420440064420 525550080525 700733440700 1051100161050 2102200322100