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20432044100 = 22521322968633
BaseRepresentation
bin10011000001110110…
…000100000001000100
31221201221111101100002
4103001312010001010
5313321100402400
613215241340432
71322216336456
oct230166040104
957657441302
1020432044100
1187353a1166
123b62797718
131c08058730
14dbb82c2d6
157e8b5ded5
hex4c1d84044

20432044100 has 72 divisors (see below), whose sum is σ = 47957321160. Its totient is φ = 7511086080.

The previous prime is 20432044091. The next prime is 20432044103. The reversal of 20432044100 is 144023402.

It can be written as a sum of positive squares in 12 ways, for example, as 2267473924 + 18164570176 = 47618^2 + 134776^2 .

It is a super-2 number, since 2×204320441002 (a number of 21 digits) contains 22 as substring.

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 (20432044103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263384 + ... + 332016.

It is an arithmetic number, because the mean of its divisors is an integer number (666073905).

Almost surely, 220432044100 is an apocalyptic number.

20432044100 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 20432044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978660580).

20432044100 is an abundant number, since it is smaller than the sum of its proper divisors (27525277060).

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

20432044100 is a wasteful number, since it uses less digits than its factorization.

20432044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68889 (or 68882 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20432044100 its reverse (144023402), we get a palindrome (20576067502).

The spelling of 20432044100 in words is "twenty billion, four hundred thirty-two million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 229 260 325 458 650 916 1145 1300 2290 2977 4580 5725 5954 11450 11908 14885 22900 29770 59540 68633 74425 137266 148850 274532 297700 343165 686330 892229 1372660 1715825 1784458 3431650 3568916 4461145 6863300 8922290 15716957 17844580 22305725 31433914 44611450 62867828 78584785 89222900 157169570 204320441 314339140 392923925 408640882 785847850 817281764 1021602205 1571695700 2043204410 4086408820 5108011025 10216022050 20432044100