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10004322100 = 2252100043221
BaseRepresentation
bin10010101000100110…
…11101011100110100
3221211012220012221011
421110103131130310
5130442101301400
64332415202004
7502626222553
oct112423353464
927735805834
1010004322100
1142741a72a3
121b32516304
13c35871826
146ac969d9a
153d84638ba
hex2544dd734

10004322100 has 18 divisors (see below), whose sum is σ = 21709379174. Its totient is φ = 4001728800.

The previous prime is 10004322091. The next prime is 10004322103. The reversal of 10004322100 is 122340001.

10004322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 35497764 + 9968824336 = 5958^2 + 99844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004322103) 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 5 ways as a sum of consecutive naturals, for example, 50021511 + ... + 50021710.

Almost surely, 210004322100 is an apocalyptic number.

10004322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004322100 is an abundant number, since it is smaller than the sum of its proper divisors (11705057074).

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

10004322100 is a wasteful number, since it uses less digits than its factorization.

10004322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100043235 (or 100043228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10004322100 its reverse (122340001), we get a palindrome (10126662101).

The spelling of 10004322100 in words is "ten billion, four million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100043221 200086442 400172884 500216105 1000432210 2000864420 2501080525 5002161050 10004322100