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11101132020 = 22351159972939
BaseRepresentation
bin10100101011010110…
…11101010011110100
31001122122201221021210
422111223131103310
5140213342211040
65033315441420
7542045031246
oct122553352364
931578657253
1011101132020
114787332880
1221998b6270
13107bb76494
147744b8096
1544e8b9480
hex295add4f4

11101132020 has 192 divisors, whose sum is σ = 34850995200. Its totient is φ = 2617405440.

The previous prime is 11101132019. The next prime is 11101132051. The reversal of 11101132020 is 2023110111.

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 = 11101131987 and 11101132005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3775711 + ... + 3778649.

It is an arithmetic number, because the mean of its divisors is an integer number (181515600).

Almost surely, 211101132020 is an apocalyptic number.

11101132020 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 11101132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425497600).

11101132020 is an abundant number, since it is smaller than the sum of its proper divisors (23749863180).

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

11101132020 is a wasteful number, since it uses less digits than its factorization.

11101132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3116 counting only the distinct ones).

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

Adding to 11101132020 its reverse (2023110111), we get a palindrome (13124242131).

The spelling of 11101132020 in words is "eleven billion, one hundred one million, one hundred thirty-two thousand, twenty".