Search a number
-
+
11120022220212 = 22325318132199469
BaseRepresentation
bin1010000111010001010011…
…1110010110110110110100
31110101001201110122012012200
42201310110332112312310
52424142301142021322
635352245004144500
72225252342212563
oct241642476266664
943331643565180
1011120022220212
1135a7a7a710444
1212b7174b38130
136287c90bb279
142a62d7823bda
151443cd59d8ac
hexa1d14f96db4

11120022220212 has 72 divisors (see below), whose sum is σ = 28797531595560. Its totient is φ = 3616644245760.

The previous prime is 11120022220187. The next prime is 11120022220217. The reversal of 11120022220212 is 21202222002111.

It is a happy number.

11120022220212 is a `hidden beast` number, since 1 + 11 + 200 + 22 + 220 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24487868196 + 11095534352016 = 156486^2 + 3330996^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120022220217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15754387 + ... + 16445082.

It is an arithmetic number, because the mean of its divisors is an integer number (399965716605).

Almost surely, 211120022220212 is an apocalyptic number.

11120022220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11120022220212 is an abundant number, since it is smaller than the sum of its proper divisors (17677509375348).

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

11120022220212 is a wasteful number, since it uses less digits than its factorization.

11120022220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32199713 (or 32199708 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11120022220212 its reverse (21202222002111), we get a palindrome (32322244222323).

The spelling of 11120022220212 in words is "eleven trillion, one hundred twenty billion, twenty-two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 181 212 318 362 477 543 636 724 954 1086 1629 1908 2172 3258 6516 9593 19186 28779 38372 57558 86337 115116 172674 345348 32199469 64398938 96598407 128797876 193196814 289795221 386393628 579590442 1159180884 1706571857 3413143714 5119715571 5828103889 6826287428 10239431142 11656207778 15359146713 17484311667 20478862284 23312415556 30718293426 34968623334 52452935001 61436586852 69937246668 104905870002 209811740004 308889506117 617779012234 926668518351 1235558024468 1853337036702 2780005555053 3706674073404 5560011110106 11120022220212