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11112121020 = 223572111326431
BaseRepresentation
bin10100101100101010…
…11000001010111100
31001200102102020100210
422112111120022330
5140224200333040
65034351152420
7542240320200
oct122625301274
931612366323
1011112121020
114792558aa0
1221a1515710
131081223250
14775b38b00
1545083a480
hex2965582bc

11112121020 has 288 divisors, whose sum is σ = 42522955776. Its totient is φ = 2131315200.

The previous prime is 11112121019. The next prime is 11112121021. The reversal of 11112121020 is 2012121111.

It is an interprime number because it is at equal distance from previous prime (11112121019) and next prime (11112121021).

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 = 11112120987 and 11112121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112121021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407205 + ... + 433635.

It is an arithmetic number, because the mean of its divisors is an integer number (147649152).

Almost surely, 211112121020 is an apocalyptic number.

11112121020 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 11112121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21261477888).

11112121020 is an abundant number, since it is smaller than the sum of its proper divisors (31410834756).

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

11112121020 is a wasteful number, since it uses less digits than its factorization.

11112121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26481 (or 26472 counting only the distinct ones).

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

Adding to 11112121020 its reverse (2012121111), we get a palindrome (13124242131).

Subtracting from 11112121020 its reverse (2012121111), we obtain a palindrome (9099999909).

The spelling of 11112121020 in words is "eleven billion, one hundred twelve million, one hundred twenty-one thousand, twenty".