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13242000100 = 2252722702449
BaseRepresentation
bin11000101010100100…
…01110001011100100
31021011212011022012011
430111102032023210
5204104423000400
610025554004004
7646102100200
oct142522161344
937155138164
1013242000100
11568584473a
122696876604
131330573024
148d8961b00
155278058ba
hex31548e2e4

13242000100 has 54 divisors (see below), whose sum is σ = 33426604050. Its totient is φ = 4540112640.

The previous prime is 13242000089. The next prime is 13242000173. The reversal of 13242000100 is 100024231.

It can be written as a sum of positive squares in 3 ways, for example, as 258309184 + 12983690916 = 16072^2 + 113946^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1346325 + ... + 1356124.

Almost surely, 213242000100 is an apocalyptic number.

13242000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13242000100 is an abundant number, since it is smaller than the sum of its proper divisors (20184603950).

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

13242000100 is a wasteful number, since it uses less digits than its factorization.

13242000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702477 (or 2702463 counting only the distinct ones).

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

Adding to 13242000100 its reverse (100024231), we get a palindrome (13342024331).

The spelling of 13242000100 in words is "thirteen billion, two hundred forty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2702449 5404898 10809796 13512245 18917143 27024490 37834286 54048980 67561225 75668572 94585715 132420001 135122450 189171430 264840002 270244900 378342860 472928575 529680004 662100005 945857150 1324200010 1891714300 2648400020 3310500025 6621000050 13242000100