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13122303314445 = 3251323975273379
BaseRepresentation
bin1011111011110100011000…
…1110100100101000001101
31201110110221212202122012100
42332331012032210220031
53204443434122030240
643524145233025313
72523024623541303
oct276750616445015
951413855678170
1013122303314445
1141aa15713a076
12157b2349b5239
13742574108430
143351a1220273
1517b51b965e30
hexbef463a4a0d

13122303314445 has 48 divisors (see below), whose sum is σ = 25559964743040. Its totient is φ = 6179332123008.

The previous prime is 13122303314443. The next prime is 13122303314501. The reversal of 13122303314445 is 54441330322131.

13122303314445 is a `hidden beast` number, since 1 + 3 + 12 + 230 + 331 + 44 + 45 = 666.

It is not a de Polignac number, because 13122303314445 - 21 = 13122303314443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122303314443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487623235 + ... + 487650144.

It is an arithmetic number, because the mean of its divisors is an integer number (532499265480).

Almost surely, 213122303314445 is an apocalyptic number.

13122303314445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13122303314445 is a deficient number, since it is larger than the sum of its proper divisors (12437661428595).

13122303314445 is a wasteful number, since it uses less digits than its factorization.

13122303314445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975273426 (or 975273423 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13122303314445 its reverse (54441330322131), we get a palindrome (67563633636576).

The spelling of 13122303314445 in words is "thirteen trillion, one hundred twenty-two billion, three hundred three million, three hundred fourteen thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 345 585 897 1035 1495 2691 4485 13455 975273379 2925820137 4876366895 8777460411 12678553927 14629100685 22431287717 38035661781 43887302055 63392769635 67293863151 112156438585 114106985343 190178308905 201881589453 291606740321 336469315755 570534926715 874820220963 1009407947265 1458033701605 2624460662889 4374101104815 13122303314445