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13122412033045 = 572353892916993
BaseRepresentation
bin1011111011110100110010…
…1101010011010000010101
31201110111020110100010002011
42332331030231103100111
53204444144440024140
643524204115144221
72523030413615200
oct276751455232025
951414213303064
1013122412033045
1141aa202545a57
12157b2652a5071
137425907b2473
143351b1840937
1517b52628dcea
hexbef4cb53415

13122412033045 has 48 divisors (see below), whose sum is σ = 18372846256560. Its totient is φ = 8971201806336.

The previous prime is 13122412032943. The next prime is 13122412033051. The reversal of 13122412033045 is 54033021422131.

It can be written as a sum of positive squares in 8 ways, for example, as 4368731202801 + 8753680830244 = 2090151^2 + 2958662^2 .

It is not a de Polignac number, because 13122412033045 - 211 = 13122412030997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13122412032998 and 13122412033016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772216069 + ... + 772233061.

It is an arithmetic number, because the mean of its divisors is an integer number (382767630345).

Almost surely, 213122412033045 is an apocalyptic number.

It is an amenable number.

13122412033045 is a deficient number, since it is larger than the sum of its proper divisors (5250434223515).

13122412033045 is a wasteful number, since it uses less digits than its factorization.

13122412033045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26294 (or 26287 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 13122412033045 its reverse (54033021422131), we get a palindrome (67155433455176).

The spelling of 13122412033045 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twelve million, thirty-three thousand, forty-five".

Divisors: 1 5 7 35 49 245 353 1765 2471 8929 12355 16993 17297 44645 62503 84965 86485 118951 312515 437521 594755 832657 2187605 3151937 4163285 5998529 15759685 22063559 29992645 41989703 110317795 151730497 154444913 209948515 293927921 758652485 772224565 1062113479 1469639605 5310567395 7434794353 37173971765 53560865441 267804327205 374926058087 1874630290435 2624482406609 13122412033045