Search a number
-
+
11101021100020 = 2252710920474789
BaseRepresentation
bin1010000110001010100001…
…1010110101011111110100
31110022020200020200021110101
42201202220122311133310
52423334342400200040
635335423320203444
72224010436312655
oct241425032653764
943266606607411
1011101021100020
11359aa0a00a625
1212b3551609584
13626a8b64a997
142a541407752c
15143b6a39209a
hexa18a86b57f4

11101021100020 has 24 divisors (see below), whose sum is σ = 23313005389800. Its totient is φ = 4440244424832.

The previous prime is 11101021100011. The next prime is 11101021100023. The reversal of 11101021100020 is 2000112010111.

11101021100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2860515985636 + 8240505114384 = 1691306^2 + 2870628^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101021100023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9695215 + ... + 10779574.

It is an arithmetic number, because the mean of its divisors is an integer number (971375224575).

Almost surely, 211101021100020 is an apocalyptic number.

11101021100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101021100020 is an abundant number, since it is smaller than the sum of its proper divisors (12211984289780).

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

11101021100020 is a wasteful number, since it uses less digits than its factorization.

11101021100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20501907 (or 20501905 counting only the distinct ones).

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

Adding to 11101021100020 its reverse (2000112010111), we get a palindrome (13101133110131).

It can be divided in two parts, 1110102 and 1100020, that added together give a palindrome (2210122).

The spelling of 11101021100020 in words is "eleven trillion, one hundred one billion, twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 27109 54218 108436 135545 271090 542180 20474789 40949578 81899156 102373945 204747890 409495780 555051055001 1110102110002 2220204220004 2775255275005 5550510550010 11101021100020