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11211100012020 = 2235794338596359
BaseRepresentation
bin1010001100100100100110…
…1000100011110111110100
31110200202210211120101202010
42203021021220203313310
52432140313100341040
635502150325244220
72234655336525366
oct243111150436764
943622724511663
1011211100012020
113632667758467
121310952863670
136342822b697c
142aa89791cd36
1514695e375e80
hexa3249a23df4

11211100012020 has 192 divisors, whose sum is σ = 31903958016000. Its totient is φ = 2941075298304.

The previous prime is 11211100012003. The next prime is 11211100012027. The reversal of 11211100012020 is 2021000111211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11211100011987 and 11211100012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211100012027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1763025601 + ... + 1763031959.

It is an arithmetic number, because the mean of its divisors is an integer number (166166448000).

Almost surely, 211211100012020 is an apocalyptic number.

11211100012020 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 11211100012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951979008000).

11211100012020 is an abundant number, since it is smaller than the sum of its proper divisors (20692858003980).

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

11211100012020 is a wasteful number, since it uses less digits than its factorization.

11211100012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211100012020 its reverse (2021000111211), we get a palindrome (13232100123231).

The spelling of 11211100012020 in words is "eleven trillion, two hundred eleven billion, one hundred million, twelve thousand, twenty".