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131140134105302 = 27172959547588737
BaseRepresentation
bin11101110100010101110001…
…000110111111000011010110
3122012022212121102110211220002
4131310111301012333003112
5114142044443312332202
61142524540152411302
736423363526536410
oct3564256106770326
9565285542424802
10131140134105302
1138870244982593
121285ba056a6b32
135823600137c5a
1424553059819b0
1510263c86c1302
hex7745711bf0d6

131140134105302 has 128 divisors (see below), whose sum is σ = 250875862502400. Its totient is φ = 50115318349824.

The previous prime is 131140134105287. The next prime is 131140134105317. The reversal of 131140134105302 is 203501431041131.

It is an interprime number because it is at equal distance from previous prime (131140134105287) and next prime (131140134105317).

It is a super-3 number, since 3×1311401341053023 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222453878 + ... + 223042614.

It is an arithmetic number, because the mean of its divisors is an integer number (1959967675800).

Almost surely, 2131140134105302 is an apocalyptic number.

131140134105302 is a deficient number, since it is larger than the sum of its proper divisors (119735728397098).

131140134105302 is a wasteful number, since it uses less digits than its factorization.

131140134105302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589398.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 131140134105302 its reverse (203501431041131), we get a palindrome (334641565146433).

The spelling of 131140134105302 in words is "one hundred thirty-one trillion, one hundred forty billion, one hundred thirty-four million, one hundred five thousand, three hundred two".

Divisors: 1 2 7 14 17 29 34 58 59 118 119 203 238 406 413 493 547 826 986 1003 1094 1711 2006 3422 3451 3829 6902 7021 7658 9299 11977 14042 15863 18598 23954 29087 31726 32273 58174 64546 65093 111041 130186 203609 222082 225911 269671 407218 451822 539342 548641 588737 935917 1097282 1177474 1871834 1887697 3775394 3840487 4121159 6551419 7680974 8242318 10008529 13102838 15910589 17073373 20017058 31821178 34146746 34735483 69470966 70059703 111374123 119513611 140119406 222748246 239027222 243148381 290247341 322039139 486296762 580494682 590503211 644078278 1007329007 1181006422 2014658014 2031731387 2254273973 4063462774 4133522477 4508547946 5474665363 7051303049 8267044954 9339135031 10949330726 14102606098 17124593119 18678270062 19000309201 34249186238 38000618402 38322657541 65373945217 76645315082 119872151833 130747890434 133002164407 158765295527 239744303666 266004328814 317530591054 323005256417 551008966829 646010512834 1102017933658 1111357068689 2222714137378 2261036794919 3857062767803 4522073589838 7714125535606 9367152436093 18734304872186 65570067052651 131140134105302