Search a number
-
+
10600100096 = 2850981349
BaseRepresentation
bin10011101111101000…
…01011000100000000
31000100201221212200212
421313310023010000
5133202111200341
64511500533252
7523452235625
oct116764130400
930321855625
1010600100096
11454a531103
122079b51228
13ccc11c7a1
14727b3434c
154208ea5eb
hex277d0b100

10600100096 has 36 divisors (see below), whose sum is σ = 21200623500. Its totient is φ = 5289572352.

The previous prime is 10600100087. The next prime is 10600100099. The reversal of 10600100096 is 69000100601.

It can be written as a sum of positive squares in 2 ways, for example, as 3419910400 + 7180189696 = 58480^2 + 84736^2 .

It is a super-2 number, since 2×106001000962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10600100099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89630 + ... + 170978.

Almost surely, 210600100096 is an apocalyptic number.

10600100096 is a gapful number since it is divisible by the number (16) 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 10600100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600311750).

10600100096 is an abundant number, since it is smaller than the sum of its proper divisors (10600523404).

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

10600100096 is an frugal number, since it uses more digits than its factorization.

10600100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81874 (or 81860 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 10600100096 its reverse (69000100601), we get a palindrome (79600200697).

The spelling of 10600100096 in words is "ten billion, six hundred million, one hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 509 1018 2036 4072 8144 16288 32576 65152 81349 130304 162698 325396 650792 1301584 2603168 5206336 10412672 20825344 41406641 82813282 165626564 331253128 662506256 1325012512 2650025024 5300050048 10600100096