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11000111001102 = 23217113472967271
BaseRepresentation
bin1010000000010010100110…
…1101010110111000001110
31102221121012122112010012100
42200010221231112320032
52420211211404013402
635221214202415530
72213506001524566
oct240045155267016
942847178463170
1011000111001102
113561136984763
121297a8ab015a6
1361a3c9419c92
142a05a01cbda6
151412112d371c
hexa0129b56e0e

11000111001102 has 96 divisors (see below), whose sum is σ = 25464634303680. Its totient is φ = 3419701125120.

The previous prime is 11000111001097. The next prime is 11000111001227. The reversal of 11000111001102 is 20110011100011.

It is a super-4 number, since 4×110001110011024 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163485727 + ... + 163552997.

It is an arithmetic number, because the mean of its divisors is an integer number (265256607330).

Almost surely, 211000111001102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000111001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732317151840).

11000111001102 is an abundant number, since it is smaller than the sum of its proper divisors (14464523302578).

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

11000111001102 is a wasteful number, since it uses less digits than its factorization.

11000111001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72138 (or 72135 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000111001102 its reverse (20110011100011), we get a palindrome (31110122101113).

The spelling of 11000111001102 in words is "eleven trillion, one hundred eleven million, one thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1921 2034 3842 4729 5763 9458 11526 14187 17289 28374 34578 42561 67271 80393 85122 134542 160786 201813 241179 403626 482358 534377 605439 723537 1068754 1143607 1210878 1447074 1603131 2287214 3206262 3430821 4809393 6861642 7601623 9084409 9618786 10292463 15203246 18168818 20584926 22804869 27253227 45609738 54506454 68414607 81759681 129227591 136829214 163519362 258455182 318124559 387682773 636249118 775365546 954373677 1163048319 1908747354 2326096638 2863121031 5408117503 5726242062 10816235006 16224352509 32448705018 35948075167 48673057527 71896150334 97346115054 107844225501 215688451002 323532676503 611117277839 647065353006 1222234555678 1833351833517 3666703667034 5500055500551 11000111001102