Search a number
-
+
211205222007104 = 26132331089495409
BaseRepresentation
bin110000000001011100001100…
…001110111000000101000000
31000200211000121001200212102202
4300001130030032320011000
5210140341243313211404
62025110201200532332
762326034202005513
oct6001341416700500
91020730531625382
10211205222007104
11613296a4794706
121b830ba16210a8
1390b074a851b20
143a2255ca0cd7a
151963dec37921e
hexc0170c3b8140

211205222007104 has 56 divisors (see below), whose sum is σ = 453286744321320. Its totient is φ = 97060966907904.

The previous prime is 211205222007079. The next prime is 211205222007121. The reversal of 211205222007104 is 401700222502112.

It can be written as a sum of positive squares in 4 ways, for example, as 8424204392704 + 202781017614400 = 2902448^2 + 14240120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544553849 + ... + 544941560.

It is an arithmetic number, because the mean of its divisors is an integer number (8094406148595).

Almost surely, 2211205222007104 is an apocalyptic number.

It is an amenable number.

211205222007104 is an abundant number, since it is smaller than the sum of its proper divisors (242081522314216).

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

211205222007104 is a wasteful number, since it uses less digits than its factorization.

211205222007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089495667 (or 1089495657 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

Adding to 211205222007104 its reverse (401700222502112), we get a palindrome (612905444509216).

The spelling of 211205222007104 in words is "two hundred eleven trillion, two hundred five billion, two hundred twenty-two million, seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 233 416 466 832 932 1864 3029 3728 6058 7456 12116 14912 24232 48464 96928 193856 1089495409 2178990818 4357981636 8715963272 14163440317 17431926544 28326880634 34863853088 56653761268 69727706176 113307522536 226615045072 253852430297 453230090144 507704860594 906460180288 1015409721188 2030819442376 3300081593861 4061638884752 6600163187722 8123277769504 13200326375444 16246555539008 26400652750888 52801305501776 105602611003552 211205222007104