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20110211140 = 22537149182389
BaseRepresentation
bin10010101110101010…
…010111100001000100
31220220111220120111211
4102232222113201010
5312141203224030
613123303341204
71311230655115
oct225652274104
956814816454
1020110211140
11858a765308
123a92a51804
131b86485126
14d8abb420c
157ca78b12a
hex4aea97844

20110211140 has 48 divisors (see below), whose sum is σ = 43664166000. Its totient is φ = 7774106112.

The previous prime is 20110211123. The next prime is 20110211141. The reversal of 20110211140 is 4111201102.

It can be written as a sum of positive squares in 8 ways, for example, as 1070074944 + 19040136196 = 32712^2 + 137986^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20110211140.

It is not an unprimeable number, because it can be changed into a prime (20110211141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19066 + ... + 201454.

It is an arithmetic number, because the mean of its divisors is an integer number (909670125).

Almost surely, 220110211140 is an apocalyptic number.

20110211140 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 20110211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21832083000).

20110211140 is an abundant number, since it is smaller than the sum of its proper divisors (23553954860).

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

20110211140 is a wasteful number, since it uses less digits than its factorization.

20110211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182584 (or 182582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20110211140 its reverse (4111201102), we get a palindrome (24221412242).

The spelling of 20110211140 in words is "twenty billion, one hundred ten million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 596 740 745 1490 2980 5513 11026 22052 27565 55130 110260 182389 364778 729556 911945 1823890 3647780 6748393 13496786 26993572 27175961 33741965 54351922 67483930 108703844 134967860 135879805 271759610 543519220 1005510557 2011021114 4022042228 5027552785 10055105570 20110211140