Search a number
-
+
110010221222211 = 32411014738162299
BaseRepresentation
bin11001000000110111000000…
…001010000101100101000011
3112102111212121110120200001200
4121000313000022011211003
5103404401413113102321
61025545555320032243
732112655556465322
oct3100670012054503
9472455543520050
10110010221222211
1132064088a12782
1210408874602683
13494cbc4a6673b
141d2474760c0b9
15cab941c1cd26
hex640dc0285943

110010221222211 has 48 divisors (see below), whose sum is σ = 164397136831200. Its totient is φ = 70840301760000.

The previous prime is 110010221222173. The next prime is 110010221222221. The reversal of 110010221222211 is 112222122010011.

110010221222211 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 10 + 221 + 222 + 211 = 666.

It is not a de Polignac number, because 110010221222211 - 215 = 110010221189443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110010221222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765811340 + ... + 1765873638.

It is an arithmetic number, because the mean of its divisors is an integer number (3424940350650).

Almost surely, 2110010221222211 is an apocalyptic number.

110010221222211 is a deficient number, since it is larger than the sum of its proper divisors (54386915608989).

110010221222211 is a wasteful number, since it uses less digits than its factorization.

110010221222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109828 (or 109825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110010221222211 its reverse (112222122010011), we get a palindrome (222232343232222).

The spelling of 110010221222211 in words is "one hundred ten trillion, ten billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 41 101 123 303 369 909 4141 12423 37269 47381 62299 142143 186897 426429 560691 1942621 2554259 4785481 5827863 6292199 7662777 14356443 17483589 18876597 22988331 43069329 56629791 196204721 257980159 588614163 773940477 1765842489 2321821431 2951788919 8855366757 26566100271 121023345679 298130680819 363070037037 894392042457 1089210111111 2683176127371 12223357913579 36670073740737 110010221222211