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25152240100 = 22521319347877
BaseRepresentation
bin10111011011001100…
…001011100111100100
32101220220101011222011
4113123030023213210
5403002433140400
615315455444004
71550203341031
oct273314134744
971826334864
1025152240100
11a737869299
124a5b526604
1324aac3ac10
141308696388
159c32458ba
hex5db30b9e4

25152240100 has 36 divisors (see below), whose sum is σ = 58778853364. Its totient is φ = 9286980480.

The previous prime is 25152240059. The next prime is 25152240103. The reversal of 25152240100 is 104225152.

It can be written as a sum of positive squares in 6 ways, for example, as 7011382756 + 18140857344 = 83734^2 + 134688^2 .

It is not an unprimeable number, because it can be changed into a prime (25152240103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9672639 + ... + 9675238.

Almost surely, 225152240100 is an apocalyptic number.

25152240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25152240100 is an abundant number, since it is smaller than the sum of its proper divisors (33626613264).

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

25152240100 is a wasteful number, since it uses less digits than its factorization.

25152240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19347904 (or 19347897 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 25152240100 its reverse (104225152), we get a palindrome (25256465252).

The spelling of 25152240100 in words is "twenty-five billion, one hundred fifty-two million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 19347877 38695754 77391508 96739385 193478770 251522401 386957540 483696925 503044802 967393850 1006089604 1257612005 1934787700 2515224010 5030448020 6288060025 12576120050 25152240100