Search a number
-
+
11020222021221 = 32721011433172657
BaseRepresentation
bin1010000001011101100001…
…1010110011111001100101
31110000112010012221210102100
42200113120122303321211
52421023403314134341
635234341535402313
72215120242422400
oct240273032637145
943015105853370
1011020222021221
113569717041846
12129b962083399
1361c282ac639a
142a154b132d37
151419dbb7e3b6
hexa05d86b3e65

11020222021221 has 72 divisors (see below), whose sum is σ = 18713466194904. Its totient is φ = 6230533478400.

The previous prime is 11020222021219. The next prime is 11020222021223. The reversal of 11020222021221 is 12212022202011.

It is a happy number.

11020222021221 is a `hidden beast` number, since 1 + 1 + 0 + 202 + 220 + 21 + 221 = 666.

11020222021221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11020222021219) and next prime (11020222021223).

It can be written as a sum of positive squares in 4 ways, for example, as 7552526290596 + 3467695730625 = 2748186^2 + 1862175^2 .

It is not a de Polignac number, because 11020222021221 - 21 = 11020222021219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11020222021194 and 11020222021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020222021223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63740925 + ... + 63913581.

It is an arithmetic number, because the mean of its divisors is an integer number (259909252707).

Almost surely, 211020222021221 is an apocalyptic number.

It is an amenable number.

11020222021221 is a deficient number, since it is larger than the sum of its proper divisors (7693244173683).

11020222021221 is a wasteful number, since it uses less digits than its factorization.

11020222021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174211 (or 174201 counting only the distinct ones).

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

Adding to 11020222021221 its reverse (12212022202011), we get a palindrome (23232244223232).

The spelling of 11020222021221 in words is "eleven trillion, twenty billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 1433 2121 4299 4949 6363 10031 12897 14847 30093 44541 70217 90279 144733 172657 210651 434199 517971 631953 1013131 1208599 1302597 1553913 3039393 3625797 7091917 8460193 9118179 10877391 17438357 21275751 25380579 52315071 63827253 76141737 122068499 156945213 247417481 366205497 742252443 854479493 1098616491 1731922367 2226757329 2563438479 5195767101 7690315437 12123456569 15587301303 24989165581 36370369707 74967496743 109111109121 174924159067 224902490229 524772477201 1224469113469 1574317431603 3673407340407 11020222021221