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102522042500 = 225454417537
BaseRepresentation
bin101111101111011001…
…0100011100010000100
3100210121221022101011012
41133132302203202010
53134431120330000
6115033055101352
710256406661043
oct1373662434204
9323557271135
10102522042500
113a530024a49
1217a52511858
13988b188b97
144d67dac55a
152a0086b735
hex17deca3884

102522042500 has 60 divisors (see below), whose sum is σ = 224266158732. Its totient is φ = 40995840000.

The previous prime is 102522042439. The next prime is 102522042503. The reversal of 102522042500 is 5240225201.

It can be written as a sum of positive squares in 10 ways, for example, as 71275116676 + 31246925824 = 266974^2 + 176768^2 .

It is not an unprimeable number, because it can be changed into a prime (102522042503) 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 19 ways as a sum of consecutive naturals, for example, 13598732 + ... + 13606268.

Almost surely, 2102522042500 is an apocalyptic number.

102522042500 is a gapful number since it is divisible by the number (10) 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 102522042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112133079366).

102522042500 is an abundant number, since it is smaller than the sum of its proper divisors (121744116232).

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

102522042500 is an equidigital number, since it uses as much as digits as its factorization.

102522042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002 (or 12985 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 102522042500 its reverse (5240225201), we get a palindrome (107762267701).

The spelling of 102522042500 in words is "one hundred two billion, five hundred twenty-two million, forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 5441 7537 10882 15074 21764 27205 30148 37685 54410 75370 108820 136025 150740 188425 272050 376850 544100 680125 753700 942125 1360250 1884250 2720500 3400625 3768500 4710625 6801250 9421250 13602500 18842500 41008817 82017634 164035268 205044085 410088170 820176340 1025220425 2050440850 4100881700 5126102125 10252204250 20504408500 25630510625 51261021250 102522042500