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20110091400 = 23335272323131
BaseRepresentation
bin10010101110101001…
…111010010010001000
31220220111200111021000
4102232221322102020
5312141140411100
613123301015000
71311226646040
oct225651722210
956814614230
1020110091400
11858a693353
123a929b4460
131b86442789
14d8ab82720
157ca765900
hex4aea7a488

20110091400 has 384 divisors, whose sum is σ = 82608998400. Its totient is φ = 4396550400.

The previous prime is 20110091399. The next prime is 20110091453. The reversal of 20110091400 is 419001102.

It is a super-2 number, since 2×201100914002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 857835 + ... + 880965.

It is an arithmetic number, because the mean of its divisors is an integer number (215127600).

Almost surely, 220110091400 is an apocalyptic number.

20110091400 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 20110091400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41304499200).

20110091400 is an abundant number, since it is smaller than the sum of its proper divisors (62498907000).

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

20110091400 is a wasteful number, since it uses less digits than its factorization.

20110091400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23186 (or 23171 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20110091400 its reverse (419001102), we get a palindrome (20529092502).

The spelling of 20110091400 in words is "twenty billion, one hundred ten million, ninety-one thousand, four hundred".