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13131334324242 = 232729518573569
BaseRepresentation
bin1011111100010110000010…
…0001001001000000010010
31201111100021021012110122200
42333011200201021000102
53210120433041333432
643532241322544030
72523464464055031
oct277054041110022
951440237173580
1013131334324242
114202a70990432
121580b35368016
13743383125204
143357ba7c8718
1517b89971aa7c
hexbf160849012

13131334324242 has 12 divisors (see below), whose sum is σ = 28451224369230. Its totient is φ = 4377111441408.

The previous prime is 13131334324111. The next prime is 13131334324357. The reversal of 13131334324242 is 24242343313131.

13131334324242 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 3 + 343 + 242 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12842697836241 + 288636488001 = 3583671^2 + 537249^2 .

It is a super-2 number, since 2×131313343242422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131334324197 and 13131334324206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364759286767 + ... + 364759286802.

Almost surely, 213131334324242 is an apocalyptic number.

13131334324242 is an abundant number, since it is smaller than the sum of its proper divisors (15319890044988).

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

13131334324242 is a wasteful number, since it uses less digits than its factorization.

13131334324242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729518573577 (or 729518573574 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 13131334324242 its reverse (24242343313131), we get a palindrome (37373677637373).

The spelling of 13131334324242 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-four million, three hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 729518573569 1459037147138 2188555720707 4377111441414 6565667162121 13131334324242