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13530103104 = 263710067041
BaseRepresentation
bin11001001100111010…
…01111110101000000
31021220221021110012210
430212131033311000
5210202201244404
610114325022120
7656200656510
oct144635176500
937827243183
1013530103104
1158134327a1
122757254940
13137816698b
14924d19840
15542c64689
hex32674fd40

13530103104 has 56 divisors (see below), whose sum is σ = 40912458688. Its totient is φ = 3865743360.

The previous prime is 13530103099. The next prime is 13530103121. The reversal of 13530103104 is 40130103531.

13530103104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 5032177 + ... + 5034864.

Almost surely, 213530103104 is an apocalyptic number.

13530103104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13530103104 is an abundant number, since it is smaller than the sum of its proper divisors (27382355584).

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

13530103104 is a wasteful number, since it uses less digits than its factorization.

13530103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067063 (or 10067053 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13530103104 its reverse (40130103531), we get a palindrome (53660206635).

The spelling of 13530103104 in words is "thirteen billion, five hundred thirty million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10067041 20134082 30201123 40268164 60402246 70469287 80536328 120804492 140938574 161072656 211407861 241608984 281877148 322145312 422815722 483217968 563754296 644290624 845631444 966435936 1127508592 1691262888 1932871872 2255017184 3382525776 4510034368 6765051552 13530103104