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20102205825 = 32521310336653
BaseRepresentation
bin10010101110001011…
…110101000110000001
31220212221211212021200
4102232023311012001
5312132131041300
613122420011413
71311102634032
oct225613650601
956787755250
1020102205825
118586197849
123a90230b69
131b84911460
14d89acca89
157c9c09200
hex4ae2f5181

20102205825 has 72 divisors (see below), whose sum is σ = 38818291512. Its totient is φ = 9885404160.

The previous prime is 20102205821. The next prime is 20102205847. The reversal of 20102205825 is 52850220102.

It can be written as a sum of positive squares in 12 ways, for example, as 9245399409 + 10856806416 = 96153^2 + 104196^2 .

It is not a de Polignac number, because 20102205825 - 22 = 20102205821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20102205821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3018199 + ... + 3024851.

Almost surely, 220102205825 is an apocalyptic number.

20102205825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20102205825 is a deficient number, since it is larger than the sum of its proper divisors (18716085687).

20102205825 is a wasteful number, since it uses less digits than its factorization.

20102205825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 20102205825 its reverse (52850220102), we get a palindrome (72952425927).

The spelling of 20102205825 in words is "twenty billion, one hundred two million, two hundred five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 1033 2925 3099 5165 6653 9297 13429 15495 19959 25825 33265 40287 46485 59877 67145 77475 86489 99795 120861 166325 201435 232425 259467 299385 335725 432445 498975 604305 778401 1007175 1297335 1496925 2162225 3021525 3892005 6486675 6872549 19460025 20617647 34362745 61852941 89343137 103088235 171813725 268029411 309264705 446715685 515441175 804088233 1340147055 1546323525 2233578425 4020441165 6700735275 20102205825