Search a number
-
+
11101022212020 = 223513291163342187
BaseRepresentation
bin1010000110001010100001…
…1111000100111110110100
31110022020200022202202211120
42201202220133010332310
52423334343141241040
635335423400103540
72224010451623646
oct241425037047664
943266608682746
1011101022212020
11359aa0a6aa034
1212b3551a64bb0
13626a8b949b80
142a5414286896
15143b6a5117d0
hexa18a87c4fb4

11101022212020 has 192 divisors, whose sum is σ = 34631919947520. Its totient is φ = 2638043799552.

The previous prime is 11101022211959. The next prime is 11101022212039. The reversal of 11101022212020 is 2021222010111.

It is a super-2 number, since 2×111010222120202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263117367 + ... + 263159553.

It is an arithmetic number, because the mean of its divisors is an integer number (180374583060).

Almost surely, 211101022212020 is an apocalyptic number.

11101022212020 is a gapful number since it is divisible by the number (10) 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 11101022212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315959973760).

11101022212020 is an abundant number, since it is smaller than the sum of its proper divisors (23530897735500).

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

11101022212020 is a wasteful number, since it uses less digits than its factorization.

11101022212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53874 (or 53872 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11101022212020 its reverse (2021222010111), we get a palindrome (13122244222131).

The spelling of 11101022212020 in words is "eleven trillion, one hundred one billion, twenty-two million, two hundred twelve thousand, twenty".