Search a number
-
+
11200222102212 = 223211132175645319
BaseRepresentation
bin1010001011111100000101…
…0000101000001011000100
31110122201201201212022202200
42202333001100220023010
52432001023324232322
635453151102034500
72234121642030543
oct242770120501304
943581651768680
1011200222102212
113628a95429860
12130a817878a30
1363323a768750
142aa144d5015a
151465243a18ac
hexa2fc14282c4

11200222102212 has 72 divisors (see below), whose sum is σ = 33261265652160. Its totient is φ = 3132929257920.

The previous prime is 11200222102169. The next prime is 11200222102231. The reversal of 11200222102212 is 21220122200211.

It is a happy number.

11200222102212 is a `hidden beast` number, since 11 + 200 + 22 + 210 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087817512 + ... + 1087827807.

Almost surely, 211200222102212 is an apocalyptic number.

11200222102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200222102212 is an abundant number, since it is smaller than the sum of its proper divisors (22061043549948).

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

11200222102212 is a wasteful number, since it uses less digits than its factorization.

11200222102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175645353 (or 2175645348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11200222102212 its reverse (21220122200211), we get a palindrome (32420344302423).

The spelling of 11200222102212 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 2175645319 4351290638 6526935957 8702581276 13053871914 19580807871 23932098509 26107743828 28283389147 39161615742 47864197018 56566778294 71796295527 78323231484 84850167441 95728394036 113133556588 143592591054 169700334882 215388886581 254550502323 287185182108 311117280617 339400669764 430777773162 509101004646 622234561234 861555546324 933351841851 1018202009292 1244469122468 1866703683702 2800055525553 3733407367404 5600111051106 11200222102212