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10109309868 = 22337292331979
BaseRepresentation
bin10010110101000111…
…11101001110101100
3222002112110011002000
421122203331032230
5131200440403433
64351045332300
7505342500420
oct113243751654
928075404060
1010109309868
114318495149
121b61707090
13c51540678
146bc898b80
153e27a1113
hex25a8fd3ac

10109309868 has 192 divisors, whose sum is σ = 31135104000. Its totient is φ = 2775403008.

The previous prime is 10109309863. The next prime is 10109309887. The reversal of 10109309868 is 86890390101.

It is not an unprimeable number, because it can be changed into a prime (10109309863) 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 63 ways as a sum of consecutive naturals, for example, 5107303 + ... + 5109281.

It is an arithmetic number, because the mean of its divisors is an integer number (162162000).

Almost surely, 210109309868 is an apocalyptic number.

10109309868 is a gapful number since it is divisible by the number (18) 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 10109309868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552000).

10109309868 is an abundant number, since it is smaller than the sum of its proper divisors (21025794132).

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

10109309868 is a wasteful number, since it uses less digits than its factorization.

10109309868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

Adding to 10109309868 its reverse (86890390101), we get a palindrome (96999699969).

The spelling of 10109309868 in words is "ten billion, one hundred nine million, three hundred nine thousand, eight hundred sixty-eight".