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11000211101022 = 231113113145178193
BaseRepresentation
bin1010000000010010111110…
…1011001101010101011110
31102221121110121212201110210
42200010233223031111132
52420211413020213042
635221232140113250
72213511325414233
oct240045753152536
942847417781423
1011000211101022
113561188434270
121297ab8535826
1361a4140970c0
142a05ad60778a
15141219ea7a9c
hexa012facd55e

11000211101022 has 128 divisors (see below), whose sum is σ = 26093685606912. Its totient is φ = 3047611392000.

The previous prime is 11000211100939. The next prime is 11000211101093. The reversal of 11000211101022 is 22010111200011.

11000211101022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11000211100989 and 11000211101007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140641158 + ... + 140719350.

It is an arithmetic number, because the mean of its divisors is an integer number (203856918804).

Almost surely, 211000211101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000211101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046842803456).

11000211101022 is an abundant number, since it is smaller than the sum of its proper divisors (15093474505890).

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

11000211101022 is a wasteful number, since it uses less digits than its factorization.

11000211101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79786.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000211101022 its reverse (22010111200011), we get a palindrome (33010322301033).

The spelling of 11000211101022 in words is "eleven trillion, two hundred eleven million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 113 143 226 286 339 429 678 858 1243 1451 1469 2486 2902 2938 3729 4353 4407 7458 8706 8814 15961 16159 18863 31922 32318 37726 47883 48477 56589 78193 95766 96954 113178 156386 163963 207493 234579 327926 414986 469158 491889 622479 860123 983778 1016509 1244958 1720246 1803593 2033018 2131519 2580369 3049527 3607186 4263038 5160738 5410779 6099054 6394557 8835809 10821558 11181599 12789114 17671618 22363198 23446709 26507427 33544797 46893418 53014854 67089594 70340127 97193899 113458043 114865517 140680254 194387798 226916086 229731034 291581697 340374129 344596551 583163394 680748258 689193102 1248038473 1263520687 1474954559 2496076946 2527041374 2949909118 3744115419 3790562061 4424863677 7488230838 7581124122 8849727354 12820758859 16224500149 25641517718 32449000298 38462276577 48673500447 76924553154 97347000894 141028347449 166669865167 282056694898 333339730334 423085042347 500009595501 846170084694 1000019191002 1833368516837 3666737033674 5500105550511 11000211101022