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13302212023413 = 3241112613201257
BaseRepresentation
bin1100000110010010100110…
…0111110101010001110101
31202002200100000201222200200
43001210221213311101311
53220420412234222123
644142541333031113
72542024133410635
oct301445147652165
952080300658620
1013302212023413
114269488998a15
1215aa083a85499
13756515b68201
1433db8ac546c5
1518104b13a143
hexc19299f5475

13302212023413 has 24 divisors (see below), whose sum is σ = 19684701907416. Its totient is φ = 8651074214400.

The previous prime is 13302212023409. The next prime is 13302212023423. The reversal of 13302212023413 is 31432021220331.

13302212023413 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 221 + 2 + 0 + 23 + 413 = 666.

13302212023413 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 4 ways, for example, as 1494205530129 + 11808006493284 = 1222377^2 + 3436278^2 .

It is not a de Polignac number, because 13302212023413 - 22 = 13302212023409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302212023423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2554681 + ... + 5755937.

It is an arithmetic number, because the mean of its divisors is an integer number (820195912809).

Almost surely, 213302212023413 is an apocalyptic number.

It is an amenable number.

13302212023413 is a deficient number, since it is larger than the sum of its proper divisors (6382489884003).

13302212023413 is a wasteful number, since it uses less digits than its factorization.

13302212023413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212565 (or 3212562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13302212023413 its reverse (31432021220331), we get a palindrome (44734233243744).

The spelling of 13302212023413 in words is "thirteen trillion, three hundred two billion, two hundred twelve million, twenty-three thousand, four hundred thirteen".

Divisors: 1 3 9 41 123 369 11261 33783 101349 461701 1385103 3201257 4155309 9603771 28811313 131251537 393754611 1181263833 36049355077 108148065231 324444195693 1478023558157 4434070674471 13302212023413