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11000001012112 = 247295237646687
BaseRepresentation
bin1010000000010010001100…
…1001110010000110010000
31102221120220222120002200001
42200010203021302012100
52420211000224341422
635221155233135344
72213503164610150
oct240044311620620
942846828502601
1011000001012112
11356108a890372
121297a5a0ba554
1361a3ac6b9938
142a058d75a760
15141206809227
hexa0123272190

11000001012112 has 80 divisors (see below), whose sum is σ = 25201896975360. Its totient is φ = 4550848372224.

The previous prime is 11000001012107. The next prime is 11000001012113. The reversal of 11000001012112 is 21121010000011.

It is not an unprimeable number, because it can be changed into a prime (11000001012113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16686433 + ... + 17333119.

It is an arithmetic number, because the mean of its divisors is an integer number (315023712192).

Almost surely, 211000001012112 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 11000001012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600948487680).

11000001012112 is an abundant number, since it is smaller than the sum of its proper divisors (14201895963248).

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

11000001012112 is a wasteful number, since it uses less digits than its factorization.

11000001012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651968 (or 651962 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11000001012112 its reverse (21121010000011), we get a palindrome (32121011012123).

It can be divided in two parts, 1100000 and 1012112, that added together give a palindrome (2112112).

The spelling of 11000001012112 in words is "eleven trillion, one million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 5237 10474 20948 36659 41896 73318 83792 146636 151873 293272 303746 586544 607492 646687 1063111 1214984 1293374 2126222 2429968 2586748 4252444 4526809 5173496 8504888 9053618 10346992 17009776 18107236 18753923 36214472 37507846 72428944 75015692 131277461 150031384 262554922 300062768 525109844 1050219688 2100439376 3386699819 6773399638 13546799276 23706898733 27093598552 47413797466 54187197104 94827594932 98214294751 189655189864 196428589502 379310379728 392857179004 687500063257 785714358008 1375000126514 1571428716016 2750000253028 5500000506056 11000001012112