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11101102210212 = 2237896072446291
BaseRepresentation
bin1010000110001010110101…
…0000001111110010100100
31110022020212220022002201120
42201202231100033302210
52423340024131211322
635335435334453540
72224012442611560
oct241425520176244
943266786262646
1011101102210212
11359aa50879943
1212b35748042b0
13626aa23a9491
142a5420b4c6a0
15143b72564a5c
hexa18ad40fca4

11101102210212 has 96 divisors (see below), whose sum is σ = 29984886005760. Its totient is φ = 3130938074880.

The previous prime is 11101102210109. The next prime is 11101102210217. The reversal of 11101102210212 is 21201220110111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11101102210191 and 11101102210200.

It is not an unprimeable number, because it can be changed into a prime (11101102210217) 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 31 ways as a sum of consecutive naturals, for example, 3314787 + ... + 5761077.

It is an arithmetic number, because the mean of its divisors is an integer number (312342562560).

Almost surely, 211101102210212 is an apocalyptic number.

11101102210212 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 11101102210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992443002880).

11101102210212 is an abundant number, since it is smaller than the sum of its proper divisors (18883783795548).

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

11101102210212 is a wasteful number, since it uses less digits than its factorization.

11101102210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447001 (or 2446999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11101102210212 its reverse (21201220110111), we get a palindrome (32302322320323).

The spelling of 11101102210212 in words is "eleven trillion, one hundred one billion, one hundred two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 607 623 1068 1214 1246 1821 1869 2428 2492 3642 3738 4249 7284 7476 8498 12747 16996 25494 50988 54023 108046 162069 216092 324138 378161 648276 756322 1134483 1512644 2268966 2446291 4537932 4892582 7338873 9785164 14677746 17124037 29355492 34248074 51372111 68496148 102744222 205488444 217719899 435439798 653159697 870879596 1306319394 1484898637 1524039293 2612638788 2969797274 3048078586 4454695911 4572117879 5939594548 6096157172 8909391822 9144235758 10394290459 17818783644 18288471516 20788580918 31182871377 41577161836 62365742754 124731485508 132155978693 264311957386 396467936079 528623914772 792935872158 925091850851 1585871744316 1850183701702 2775275552553 3700367403404 5550551105106 11101102210212