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11141300410245 = 34573639758909
BaseRepresentation
bin1010001000100000100101…
…0000001101011110000101
31110110002122101022020120000
42202020021100031132011
52430014340401111440
635410124233431513
72226634544642205
oct242101120153605
943402571266500
1011141300410245
113605aa96a0565
1212bb312b6b599
1362a80a535965
142a7355790405
15144c2664c730
hexa220940d785

11141300410245 has 80 divisors (see below), whose sum is σ = 20248907614320. Its totient is φ = 5859613633536.

The previous prime is 11141300410199. The next prime is 11141300410271. The reversal of 11141300410245 is 54201400314111.

It is a happy number.

11141300410245 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 3 + 0 + 0 + 410 + 245 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5069063125764 + 6072237284481 = 2251458^2 + 2464191^2 .

It is not a de Polignac number, because 11141300410245 - 210 = 11141300409221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189097851 + ... + 189156759.

It is an arithmetic number, because the mean of its divisors is an integer number (253111345179).

Almost surely, 211141300410245 is an apocalyptic number.

11141300410245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11141300410245 is a deficient number, since it is larger than the sum of its proper divisors (9107607204075).

11141300410245 is an equidigital number, since it uses as much as digits as its factorization.

11141300410245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65396 (or 65387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11141300410245 its reverse (54201400314111), we get a palindrome (65342700724356).

The spelling of 11141300410245 in words is "eleven trillion, one hundred forty-one billion, three hundred million, four hundred ten thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 73 81 135 219 365 405 657 1095 1971 3285 5913 6397 9855 19191 29565 31985 57573 58909 95955 172719 176727 287865 294545 466981 518157 530181 863595 883635 1400943 1590543 2334905 2590785 2650905 4202829 4300357 4771629 7004715 7952715 12608487 12901071 21014145 21501785 23858145 37825461 38703213 63042435 64505355 116109639 189127305 193516065 348328917 376840873 580548195 1130522619 1741644585 1884204365 3391567857 5652613095 10174703571 16957839285 27509383729 30524110713 50873517855 82528151187 137546918645 152620553565 247584453561 412640755935 742753360683 1237922267805 2228260082049 3713766803415 11141300410245