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10100280608 = 251154752457
BaseRepresentation
bin10010110100000011…
…00000110100100000
3222001220110102020222
421122001200310200
5131141132434413
64350124022212
7505202653145
oct113201406440
928056412228
1010100280608
114313388350
121b5a691968
13c4c6cb902
146bb5c83cc
153e1abab08
hex25a060d20

10100280608 has 48 divisors (see below), whose sum is σ = 21732719904. Its totient is φ = 4582556160.

The previous prime is 10100280607. The next prime is 10100280691. The reversal of 10100280608 is 80608200101.

It is not an unprimeable number, because it can be changed into a prime (10100280607) 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 7 ways as a sum of consecutive naturals, for example, 166316 + ... + 218772.

It is an arithmetic number, because the mean of its divisors is an integer number (452764998).

Almost surely, 210100280608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100280608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866359952).

10100280608 is an abundant number, since it is smaller than the sum of its proper divisors (11632439296).

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

10100280608 is a wasteful number, since it uses less digits than its factorization.

10100280608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53025 (or 53017 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 10100280608 its reverse (80608200101), we get a palindrome (90708480709).

The spelling of 10100280608 in words is "ten billion, one hundred million, two hundred eighty thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 547 1094 2188 4376 6017 8752 12034 17504 24068 48136 52457 96272 104914 192544 209828 419656 577027 839312 1154054 1678624 2308108 4616216 9232432 18464864 28693979 57387958 114775916 229551832 315633769 459103664 631267538 918207328 1262535076 2525070152 5050140304 10100280608