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11020100221020 = 223511414577611171
BaseRepresentation
bin1010000001011101000100…
…1010001011100001011100
31110000111210201202200221210
42200113101022023201130
52421023131124033040
635234321505024420
72215114233222642
oct240272112134134
943014721680853
1011020100221020
113569664310520
12129b929325110
1361c2637bbc67
142a1538ca9192
151419d1120480
hexa05d128b85c

11020100221020 has 384 divisors, whose sum is σ = 34632821873664. Its totient is φ = 2595041280000.

The previous prime is 11020100220989. The next prime is 11020100221087. The reversal of 11020100221020 is 2012200102011.

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 = 11020100220987 and 11020100221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9410845035 + ... + 9410846205.

It is an arithmetic number, because the mean of its divisors is an integer number (90189640296).

Almost surely, 211020100221020 is an apocalyptic number.

11020100221020 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 11020100221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316410936832).

11020100221020 is an abundant number, since it is smaller than the sum of its proper divisors (23612721652644).

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

11020100221020 is a wasteful number, since it uses less digits than its factorization.

11020100221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020100221020 its reverse (2012200102011), we get a palindrome (13032300323031).

The spelling of 11020100221020 in words is "eleven trillion, twenty billion, one hundred million, two hundred twenty-one thousand, twenty".