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11122022121001 = 11172101227152597
BaseRepresentation
bin1010000111011000110000…
…1011010111111000101001
31110101020212211210200100021
42201312030023113320221
52424210400130333001
635353215245040441
72225353035122251
oct241661413277051
943336784720307
1011122022121001
1135a890659a510
1212b7632856121
13628a5752c40c
142a6447294961
15144498e41ba1
hexa1d8c2d7e29

11122022121001 has 48 divisors (see below), whose sum is σ = 13073849520192. Its totient is φ = 9380381312000.

The previous prime is 11122022120789. The next prime is 11122022121083. The reversal of 11122022121001 is 10012122022111.

11122022121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11122022121001 - 229 = 11121485250089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11122022121101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72808635 + ... + 72961231.

It is an arithmetic number, because the mean of its divisors is an integer number (272371865004).

Almost surely, 211122022121001 is an apocalyptic number.

11122022121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122022121001 is a deficient number, since it is larger than the sum of its proper divisors (1951827399191).

11122022121001 is a wasteful number, since it uses less digits than its factorization.

11122022121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152970 (or 152953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11122022121001 its reverse (10012122022111), we get a palindrome (21134144143112).

The spelling of 11122022121001 in words is "eleven trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, one".

Divisors: 1 11 17 101 187 227 289 1111 1717 2497 3179 3859 18887 22927 29189 42449 65603 152597 252197 321079 389759 721633 1678567 2594149 4287349 6625903 15412297 28535639 34639519 44100533 72884933 169535267 262009049 381034709 485105863 588871823 2882099539 3498591419 4454153833 6477590053 10010820991 38484505609 48995692163 59476054123 110119030901 654236595353 1011092920091 11122022121001