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1305424105245 = 335131976950909
BaseRepresentation
bin10010111111110001010…
…101110000111100011101
311121210112020202112211000
4102333301111300330131
5132342002032331440
62435411545020513
7163212424545321
oct22776125607435
94553466675730
101305424105245
114636999697a7
12190bbba84739
1396140a87480
144727bac7981
1523e55202730
hex12ff1570f1d

1305424105245 has 128 divisors (see below), whose sum is σ = 2634287040000. Its totient is φ = 608041893888.

The previous prime is 1305424105211. The next prime is 1305424105259. The reversal of 1305424105245 is 5425014245031.

1305424105245 is a `hidden beast` number, since 1 + 3 + 0 + 542 + 4 + 105 + 2 + 4 + 5 = 666.

It is not a de Polignac number, because 1305424105245 - 219 = 1305423580957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25616851 + ... + 25667759.

It is an arithmetic number, because the mean of its divisors is an integer number (20580367500).

Almost surely, 21305424105245 is an apocalyptic number.

1305424105245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305424105245 is an abundant number, since it is smaller than the sum of its proper divisors (1328862934755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305424105245 is a wasteful number, since it uses less digits than its factorization.

1305424105245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51724 (or 51718 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1305424105245 in words is "one trillion, three hundred five billion, four hundred twenty-four million, one hundred five thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 769 855 1235 1755 2223 2307 2565 3705 3845 6669 6921 9997 11115 11535 14611 20763 29991 33345 34605 43833 49985 50909 73055 89973 103815 131499 149955 152727 189943 219165 254545 269919 394497 449865 458181 569829 657495 661817 763635 949715 967271 1349595 1374543 1709487 1972485 1985451 2290905 2849145 2901813 3309085 4836355 5128461 5956353 6872715 8547435 8705439 9927255 12574523 14509065 17869059 25642305 26116317 29781765 37723569 39149021 43527195 62872615 89345295 113170707 117447063 130581585 188617845 195745105 339512121 352341189 508937273 565853535 587235315 743831399 1057023567 1526811819 1697560605 1761705945 2231494197 2544686365 3719156995 4580435457 5285117835 6694482591 7634059095 9669808187 11157470985 13741306371 20083447773 22902177285 29009424561 33472412955 48349040935 68706531855 87028273683 100417238865 145047122805 261084821049 435141368415 1305424105245