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100002123104 = 25131789134371
BaseRepresentation
bin101110100100010010…
…1110100110101100000
3100120010022122012121012
41131020211310311200
53114301020414404
6113535040320052
710140101010212
oct1351045646540
9316108565535
10100002123104
1139457656234
121746a613028
1395790a3c10
144ba94545b2
152904508a6e
hex1748974d60

100002123104 has 48 divisors (see below), whose sum is σ = 212143826160. Its totient is φ = 46128683520.

The previous prime is 100002123077. The next prime is 100002123107. The reversal of 100002123104 is 401321200001.

100002123104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002123107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677039 + ... + 811409.

It is an arithmetic number, because the mean of its divisors is an integer number (4419663045).

Almost surely, 2100002123104 is an apocalyptic number.

It is an amenable number.

100002123104 is an abundant number, since it is smaller than the sum of its proper divisors (112141703056).

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

100002123104 is a wasteful number, since it uses less digits than its factorization.

100002123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136183 (or 136175 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100002123104 its reverse (401321200001), we get a palindrome (501323323105).

The spelling of 100002123104 in words is "one hundred billion, two million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1789 3578 7156 14312 23257 28624 46514 57248 93028 134371 186056 268742 372112 537484 744224 1074968 1746823 2149936 3493646 4299872 6987292 13974584 27949168 55898336 240389719 480779438 961558876 1923117752 3125066347 3846235504 6250132694 7692471008 12500265388 25000530776 50001061552 100002123104