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13121122133410 = 251724630998041
BaseRepresentation
bin1011111011101111111111…
…0100101110010110100010
31201110100220120011102102121
42332323333310232112202
53204434024231232120
643523432120134454
72522653431632644
oct276737764562642
951410816142377
1013121122133410
1141a97004172a5
12157ab6530742a
137424164a2945
143350cc3cc894
1517b49cde65aa
hexbeeffd2e5a2

13121122133410 has 48 divisors (see below), whose sum is σ = 25089836060520. Its totient is φ = 4939559516160.

The previous prime is 13121122133401. The next prime is 13121122133443. The reversal of 13121122133410 is 1433122112131.

It can be written as a sum of positive squares in 12 ways, for example, as 8563541880609 + 4557580252801 = 2926353^2 + 2134849^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133783990 + ... + 133882030.

Almost surely, 213121122133410 is an apocalyptic number.

13121122133410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13121122133410 is a deficient number, since it is larger than the sum of its proper divisors (11968713927110).

13121122133410 is a wasteful number, since it uses less digits than its factorization.

13121122133410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144391 (or 144374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13121122133410 its reverse (1433122112131), we get a palindrome (14554244245541).

The spelling of 13121122133410 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, four hundred ten".

Divisors: 1 2 5 10 17 34 85 170 289 578 1445 2890 46309 92618 98041 196082 231545 463090 490205 787253 980410 1574506 1666697 3333394 3936265 7872530 8333485 13383301 16666970 26766602 28333849 56667698 66916505 133833010 141669245 283338490 4540180669 9080361338 22700903345 45401806690 77183071373 154366142746 385915356865 771830713730 1312112213341 2624224426682 6560561066705 13121122133410