Search a number
-
+
11020021012 = 22721113569691
BaseRepresentation
bin10100100001101100…
…00010110100010100
31001110000010001220101
422100312002310110
5140032111133022
65021301143444
7540041430100
oct122066026424
931400101811
1011020021012
114745572990
1221766bab84
1310681174c0
14767802900
154476e6627
hex290d82d14

11020021012 has 144 divisors (see below), whose sum is σ = 26440102080. Its totient is φ = 3950553600.

The previous prime is 11020020953. The next prime is 11020021031. The reversal of 11020021012 is 21012002011.

It is a self number, because there is not a number n which added to its sum of digits gives 11020021012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15947587 + ... + 15948277.

It is an arithmetic number, because the mean of its divisors is an integer number (183611820).

Almost surely, 211020021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220051040).

11020021012 is an abundant number, since it is smaller than the sum of its proper divisors (15420081068).

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

11020021012 is a wasteful number, since it uses less digits than its factorization.

11020021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11020021012 its reverse (21012002011), we get a palindrome (32032023023).

The spelling of 11020021012 in words is "eleven billion, twenty million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 569 572 637 691 1001 1078 1138 1274 1382 2002 2156 2276 2548 2764 3983 4004 4837 6259 7007 7397 7601 7966 8983 9674 12518 14014 14794 15202 15932 17966 19348 25036 27881 28028 29588 30404 33859 35932 43813 51779 53207 55762 62881 67718 81367 87626 98813 103558 106414 111524 125762 135436 162734 175252 197626 207116 212828 251524 306691 325468 362453 372449 393179 395252 440167 569569 613382 691691 724906 744898 786358 880334 1139138 1226764 1383382 1449812 1489796 1572716 1760668 2278276 2752253 2766764 3986983 4324969 4841837 5111327 5504506 7973966 8649938 9683674 10222654 11009012 15947932 17299876 19265771 19367348 20445308 30274783 35779289 38531542 56224597 60549566 71558578 77063084 112449194 121099132 143117156 211923481 224898388 250455023 393572179 423846962 500910046 787144358 847693924 1001820092 1574288716 2755005253 5510010506 11020021012