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107902320027831 = 3471943367634687
BaseRepresentation
bin11000100010001011110111…
…011101001010100010110111
3112011001100202012121012210000
4120202023313131022202313
5103120332422411342311
61021253350322002343
731504454036120520
oct3042136735124267
9464040665535700
10107902320027831
113142113171458a
12101282387a63b3
1348291b6a957b4
141c907005d3847
15c71bc1026056
hex6222f774a8b7

107902320027831 has 160 divisors (see below), whose sum is σ = 198960166338560. Its totient is φ = 56899285095744.

The previous prime is 107902320027781. The next prime is 107902320027839. The reversal of 107902320027831 is 138720023209701.

It is not a de Polignac number, because 107902320027831 - 218 = 107902319765687 is a prime.

It is a super-2 number, since 2×1079023200278312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107902320027839) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 169691370 + ... + 170326056.

It is an arithmetic number, because the mean of its divisors is an integer number (1243501039616).

Almost surely, 2107902320027831 is an apocalyptic number.

107902320027831 is a deficient number, since it is larger than the sum of its proper divisors (91057846310729).

107902320027831 is a wasteful number, since it uses less digits than its factorization.

107902320027831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635135 (or 635126 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 107902320027831 in words is "one hundred seven trillion, nine hundred two billion, three hundred twenty million, twenty-seven thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 43 57 63 81 129 133 171 189 301 367 387 399 513 567 817 903 1101 1161 1197 1539 2451 2569 2709 3303 3483 3591 5719 6973 7353 7707 8127 9909 10773 15781 17157 20919 22059 23121 24381 29727 47343 48811 51471 62757 66177 69363 110467 142029 146433 154413 188271 208089 299839 331401 426087 439299 463239 564813 634687 899517 994203 1278261 1317897 1904061 2098873 2698551 2982609 3953691 4442809 5712183 6296619 8095653 8947827 12059053 13328427 17136549 18889857 24286959 27291541 36177159 39985281 51409647 56669571 81874623 84413371 108531477 119955843 170008713 191040787 232930129 245623869 253240113 325594431 359867529 518539279 573122361 698790387 736871607 759720339 976783293 1555617837 1630510903 1719367083 2096371161 2210614821 2279161017 3629774953 4425672451 4666853511 4891532709 5158101249 6289113483 6837483051 10015995547 10889324859 13277017353 14000560533 14674598127 15474303747 18867340449 30047986641 30979707157 32667974577 39831052059 42001681599 44023794381 70111968829 90143959923 92939121471 98003923731 119493156177 132071383143 190303915393 210335906487 270431879769 278817364413 294011771193 358479468531 570911746179 631007719461 811295639307 836452093239 1332127407751 1712735238537 1893023158383 2509356279717 3996382223253 5138205715611 5679069475149 11989146669759 15414617146833 35967440009277 107902320027831