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11101201122 = 23113112834229
BaseRepresentation
bin10100101011010111…
…01110001011100010
31001122122212110002010
422111223232023202
5140213401413442
65033321133350
7542045436564
oct122553561342
931578773063
1011101201122
11478737a790
12219992a256
13107bb9ba7b
147744d5334
1544e8ceb9c
hex295aee2e2

11101201122 has 64 divisors (see below), whose sum is σ = 25027522560. Its totient is φ = 3252177600.

The previous prime is 11101201103. The next prime is 11101201129. The reversal of 11101201122 is 22110210111.

It is a junction number, because it is equal to n+sod(n) for n = 11101201098 and 11101201107.

It is not an unprimeable number, because it can be changed into a prime (11101201129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2622904 + ... + 2627132.

It is an arithmetic number, because the mean of its divisors is an integer number (391055040).

Almost surely, 211101201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513761280).

11101201122 is an abundant number, since it is smaller than the sum of its proper divisors (13926321438).

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

11101201122 is a wasteful number, since it uses less digits than its factorization.

11101201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11101201122 its reverse (22110210111), we get a palindrome (33211411233).

The spelling of 11101201122 in words is "eleven billion, one hundred one million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1283 2046 2566 3849 4229 7698 8458 12687 14113 25374 28226 39773 42339 46519 79546 84678 93038 119319 131099 139557 238638 262198 279114 393297 437503 786594 875006 1312509 1442089 2625018 2884178 4326267 5425807 8652534 10851614 16277421 32554842 59683877 119367754 168200017 179051631 336400034 358103262 504600051 1009200102 1850200187 3700400374 5550600561 11101201122