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11011010112011 = 7133125774320441
BaseRepresentation
bin1010000000111011001101…
…0110001010101000001011
31102222122100020010022121202
42200032303112022220023
52420401022042041021
635230215504254415
72214343044453260
oct240166326125013
942878306108552
1011011010112011
11356581a174038
12129a01101140b
1361b44547c230
142a0d15919267
1514164d094a0b
hexa03b358aa0b

11011010112011 has 64 divisors (see below), whose sum is σ = 14063195897856. Its totient is φ = 8386456780800.

The previous prime is 11011010111953. The next prime is 11011010112013. The reversal of 11011010112011 is 11021101011011.

It is a happy number.

It is not a de Polignac number, because 11011010112011 - 210 = 11011010110987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011010111983 and 11011010112001.

It is not an unprimeable number, because it can be changed into a prime (11011010112013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 538662551 + ... + 538682991.

It is an arithmetic number, because the mean of its divisors is an integer number (219737435904).

Almost surely, 211011010112011 is an apocalyptic number.

11011010112011 is a deficient number, since it is larger than the sum of its proper divisors (3052185785845).

11011010112011 is a wasteful number, since it uses less digits than its factorization.

11011010112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21492.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11011010112011 its reverse (11021101011011), we get a palindrome (22032111123022).

The spelling of 11011010112011 in words is "eleven trillion, eleven billion, ten million, one hundred twelve thousand, eleven".

Divisors: 1 7 13 31 91 217 257 403 743 1799 2821 3341 5201 7967 9659 20441 23033 23387 55769 67613 103571 143087 161231 190951 265733 299429 633671 724997 1336657 1860131 2096003 2482363 4435697 5253337 5919481 8237723 15187663 17376541 36773359 41436367 57664061 68293381 76953253 106313641 162853447 197439619 470817553 478053667 538672771 1139974129 1382077333 2117094811 3295722871 3903229391 6120628189 14819663677 27322605737 42844397323 50741982083 121000111121 355193874581 847000777847 1573001444573 11011010112011