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20425132100 = 22522919336493
BaseRepresentation
bin10011000001011011…
…101100100001000100
31221201110111012212002
4103001123230201010
5313312313211400
613214433244432
71322103521042
oct230133544104
957643435762
1020425132100
11873150006a
123b60403718
131c067a85a9
14dba94d392
157e8245ed5
hex4c16ec844

20425132100 has 72 divisors (see below), whose sum is σ = 46089732360. Its totient is φ = 7847239680.

The previous prime is 20425132093. The next prime is 20425132111. The reversal of 20425132100 is 123152402.

It can be written as a sum of positive squares in 12 ways, for example, as 13664674816 + 6760457284 = 116896^2 + 82222^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541454 + ... + 577946.

Almost surely, 220425132100 is an apocalyptic number.

20425132100 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 20425132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23044866180).

20425132100 is an abundant number, since it is smaller than the sum of its proper divisors (25664600260).

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

20425132100 is a wasteful number, since it uses less digits than its factorization.

20425132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36729 (or 36722 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20425132100 its reverse (123152402), we get a palindrome (20548284502).

The spelling of 20425132100 in words is "twenty billion, four hundred twenty-five million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 193 290 386 580 725 772 965 1450 1930 2900 3860 4825 5597 9650 11194 19300 22388 27985 36493 55970 72986 111940 139925 145972 182465 279850 364930 559700 729860 912325 1058297 1824650 2116594 3649300 4233188 5291485 7043149 10582970 14086298 21165940 26457425 28172596 35215745 52914850 70431490 105829700 140862980 176078725 204251321 352157450 408502642 704314900 817005284 1021256605 2042513210 4085026420 5106283025 10212566050 20425132100