Search a number
-
+
11212111121211 = 3271113372909091
BaseRepresentation
bin1010001100101000010111…
…1001101000101100111011
31110200212102022011001210200
42203022011321220230323
52432144400421334321
635502434525013243
72235022365025530
oct243120571505473
943625368131720
1011212111121211
1136330364797a0
121310b953b4223
136343b3913530
142aa951d1cd87
151469bceedd26
hexa3285e68b3b

11212111121211 has 144 divisors (see below), whose sum is σ = 22348303181568. Its totient is φ = 5231122041600.

The previous prime is 11212111121191. The next prime is 11212111121213.

11212111121211 is a `hidden beast` number, since 1 + 121 + 211 + 1 + 121 + 211 = 666.

11212111121211 is nontrivially palindromic in base 10.

11212111121211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11212111121211 - 214 = 11212111104827 is a prime.

It is a super-2 number, since 2×112121111212112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11212111121213) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11878776 + ... + 12787866.

It is an arithmetic number, because the mean of its divisors is an integer number (155196549872).

Almost surely, 211212111121211 is an apocalyptic number.

11212111121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11212111121211 is a deficient number, since it is larger than the sum of its proper divisors (11136192060357).

11212111121211 is a wasteful number, since it uses less digits than its factorization.

11212111121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909202 (or 909162 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

It can be divided in two parts, 1121211 and 1121211, that added together give a palindrome (2242422).

The spelling of 11212111121211 in words is "eleven trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1369 1443 2331 2849 3003 3367 3663 4107 4329 5291 8547 9009 9583 10101 12321 15059 15873 17797 25641 28749 30303 37037 45177 47619 53391 86247 105413 111111 124579 135531 160173 195767 316239 333333 373737 587301 909091 948717 1121211 1370369 1761903 2727273 4111107 6363637 8181819 10000001 11818183 12333321 19090911 30000003 33636367 35454549 57272733 70000007 82727281 90000009 100909101 106363647 130000013 210000021 235454569 248181843 302727303 370000037 390000039 437272771 630000063 706363707 744545529 910000091 1110000111 1170000117 1244545579 1311818313 2119091121 2590000259 2730000273 3060909397 3330000333 3733636737 3935454939 4810000481 7770000777 8190000819 8711819053 9182728191 11200910211 13690001369 14430001443 16179092527 23310002331 26135457159 27548184573 33670003367 41070004107 43290004329 48537277581 78406371477 95830009583 101010010101 113253647689 123210012321 145611832743 177970017797 287490028749 303030030303 339760943067 533910053391 862470086247 1019282829201 1245790124579 1601730160173 3737370373737 11212111121211