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20112211020 = 223511273137277
BaseRepresentation
bin10010101110110001…
…111111110001001100
31220220122200011211110
4102232301333301030
5312142211223040
613123414252020
71311253654506
oct225661776114
956818604743
1020112211020
118590900900
123a93657010
131b86a054a5
14d8b174d76
157caa33980
hex4aec7fc4c

20112211020 has 288 divisors, whose sum is σ = 63433185984. Its totient is φ = 4756561920.

The previous prime is 20112211003. The next prime is 20112211039. The reversal of 20112211020 is 2011221102.

It is a super-2 number, since 2×201122110202 (a number of 21 digits) contains 22 as substring.

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 = 20112210987 and 20112211005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72607122 + ... + 72607398.

It is an arithmetic number, because the mean of its divisors is an integer number (220254118).

Almost surely, 220112211020 is an apocalyptic number.

20112211020 is a gapful number since it is divisible by the number (20) 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 20112211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31716592992).

20112211020 is an abundant number, since it is smaller than the sum of its proper divisors (43320974964).

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

20112211020 is a wasteful number, since it uses less digits than its factorization.

20112211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

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

Adding to 20112211020 its reverse (2011221102), we get a palindrome (22123432122).

It can be divided in two parts, 20112 and 211020, that added together give a palindrome (231132).

The spelling of 20112211020 in words is "twenty billion, one hundred twelve million, two hundred eleven thousand, twenty".