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13101310242 = 2323719671637
BaseRepresentation
bin11000011001110011…
…00010000100100010
31020211001102111222200
430030321202010202
5203312413411432
610004010314030
7642443204526
oct141471420442
936731374880
1013101310242
115613391329
122657728916
13130a3839a7
148c3dbbd86
1551a2b4a7c
hex30ce62122

13101310242 has 24 divisors (see below), whose sum is σ = 29153367516. Its totient is φ = 4249073376.

The previous prime is 13101310223. The next prime is 13101310259. The reversal of 13101310242 is 24201310131.

13101310242 is a `hidden beast` number, since 1 + 310 + 1 + 310 + 2 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13100862681 + 447561 = 114459^2 + 669^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9835153 + ... + 9836484.

Almost surely, 213101310242 is an apocalyptic number.

13101310242 is an abundant number, since it is smaller than the sum of its proper divisors (16052057274).

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

13101310242 is a wasteful number, since it uses less digits than its factorization.

13101310242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671682 (or 19671679 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101310242 its reverse (24201310131), we get a palindrome (37302620373).

The spelling of 13101310242 in words is "thirteen billion, one hundred one million, three hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 19671637 39343274 59014911 118029822 177044733 354089466 727850569 1455701138 2183551707 4367103414 6550655121 13101310242