Search a number
-
+
11101120122112 = 28163631421609
BaseRepresentation
bin1010000110001010111001…
…0100100100110100000000
31110022020221011000010020021
42201202232110210310000
52423340043222401422
635335441214423224
72224013051063056
oct241425624446400
943266834003207
1011101120122112
11359aa5a9a3369
1212b357a801b14
13626aa600b337
142a54232921d6
15143b73e01dc7
hexa18ae524d00

11101120122112 has 72 divisors (see below), whose sum is σ = 22330206006080. Its totient is φ = 5507751997440.

The previous prime is 11101120122041. The next prime is 11101120122149. The reversal of 11101120122112 is 21122102110111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26119564 + ... + 26541172.

Almost surely, 211101120122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165103003040).

11101120122112 is an abundant number, since it is smaller than the sum of its proper divisors (11229085883968).

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

11101120122112 is an equidigital number, since it uses as much as digits as its factorization.

11101120122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422419 (or 422405 counting only the distinct ones).

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

Adding to 11101120122112 its reverse (21122102110111), we get a palindrome (32223222232223).

The spelling of 11101120122112 in words is "eleven trillion, one hundred one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 631 652 1262 1304 2524 2608 5048 5216 10096 10432 20192 20864 40384 41728 80768 102853 161536 205706 411412 421609 822824 843218 1645648 1686436 3291296 3372872 6582592 6745744 13165184 13491488 26330368 26982976 53965952 68722267 107931904 137444534 266035279 274889068 532070558 549778136 1064141116 1099556272 2128282232 2199112544 4256564464 4398225088 8513128928 8796450176 17026257856 17592900352 34052515712 43363750477 68105031424 86727500954 173455001908 346910003816 693820007632 1387640015264 2775280030528 5550560061056 11101120122112