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20111406500 = 2253532572953
BaseRepresentation
bin10010101110101110…
…111011010110100100
31220220121011022020102
4102232232323112210
5312142010002000
613123345123232
71311244064123
oct225656732644
956817138212
1020111406500
118590401409
123a93329518
131b867b3243
14d8b005aba
157ca9253d5
hex4aebbb5a4

20111406500 has 96 divisors (see below), whose sum is σ = 44941399776. Its totient is φ = 7859404800.

The previous prime is 20111406493. The next prime is 20111406503. The reversal of 20111406500 is 560411102.

It can be written as a sum of positive squares in 16 ways, for example, as 2816000356 + 17295406144 = 53066^2 + 131512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20111406503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6809024 + ... + 6811976.

It is an arithmetic number, because the mean of its divisors is an integer number (468139581).

Almost surely, 220111406500 is an apocalyptic number.

20111406500 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 20111406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470699888).

20111406500 is an abundant number, since it is smaller than the sum of its proper divisors (24829993276).

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

20111406500 is a wasteful number, since it uses less digits than its factorization.

20111406500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 20111406500 its reverse (560411102), we get a palindrome (20671817602).

The spelling of 20111406500 in words is "twenty billion, one hundred eleven million, four hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 257 265 500 514 530 1028 1060 1285 1325 2570 2650 2953 5140 5300 5906 6425 6625 11812 12850 13250 13621 14765 25700 26500 27242 29530 32125 54484 59060 64250 68105 73825 128500 136210 147650 156509 272420 295300 313018 340525 369125 626036 681050 738250 758921 782545 1362100 1476500 1517842 1565090 1702625 3035684 3130180 3405250 3794605 3912725 6810500 7589210 7825450 15178420 15650900 18973025 19563625 37946050 39127250 40222813 75892100 78254500 80445626 94865125 160891252 189730250 201114065 379460500 402228130 804456260 1005570325 2011140650 4022281300 5027851625 10055703250 20111406500