Search a number
-
+
11011221110112 = 253736072588527
BaseRepresentation
bin1010000000111011111111…
…1011000011110101100000
31102222122212221011010121020
42200032333323003311200
52420401440101010422
635230252442525440
72214351216065136
oct240167773036540
942878787133536
1011011221110112
113565918289033
12129a06b806880
1361b47a0b7492
142a0d35961756
1514166187295c
hexa03bfec3d60

11011221110112 has 96 divisors (see below), whose sum is σ = 29348689047552. Its totient is φ = 3614162125824.

The previous prime is 11011221110081. The next prime is 11011221110117. The reversal of 11011221110112 is 21101112211011.

Adding to 11011221110112 its reverse (21101112211011), we get a palindrome (32112333321123).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110112211101122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011221110091 and 11011221110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011221110117) 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 15 ways as a sum of consecutive naturals, for example, 2959593 + ... + 5548119.

It is an arithmetic number, because the mean of its divisors is an integer number (305715510912).

Almost surely, 211011221110112 is an apocalyptic number.

11011221110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011221110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674344523776).

11011221110112 is an abundant number, since it is smaller than the sum of its proper divisors (18337467937440).

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

11011221110112 is a wasteful number, since it uses less digits than its factorization.

11011221110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589220 (or 2589212 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

The spelling of 11011221110112 in words is "eleven trillion, eleven billion, two hundred twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 607 876 1168 1214 1752 1821 2336 2428 3504 3642 4856 7008 7284 9712 14568 19424 29136 44311 58272 88622 132933 177244 265866 354488 531732 708976 1063464 1417952 2126928 2588527 4253856 5177054 7765581 10354108 15531162 20708216 31062324 41416432 62124648 82832864 124249296 188962471 248498592 377924942 566887413 755849884 1133774826 1511699768 1571235889 2267549652 3023399536 3142471778 4535099304 4713707667 6046799072 6284943556 9070198608 9427415334 12569887112 18140397216 18854830668 25139774224 37709661336 50279548448 75419322672 114700219897 150838645344 229400439794 344100659691 458800879588 688201319382 917601759176 1376402638764 1835203518352 2752805277528 3670407036704 5505610555056 11011221110112