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2123116086741 = 31317199109714669
BaseRepresentation
bin11110111001010011100…
…101001000010111010101
321111222010121111001212120
4132321103211020113111
5234241120204233431
64303202430010153
7306250536655326
oct36712345102725
97458117431776
102123116086741
11749454755001
122a3583346959
131252941b9940
1474a8b9ba44d
153a361808196
hex1ee539485d5

2123116086741 has 64 divisors (see below), whose sum is σ = 3247304256000. Its totient is φ = 1222300164096.

The previous prime is 2123116086713. The next prime is 2123116086779. The reversal of 2123116086741 is 1476806113212.

It is not a de Polignac number, because 2123116086741 - 214 = 2123116070357 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2123116086693 and 2123116086702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123116086041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144727555 + ... + 144742223.

It is an arithmetic number, because the mean of its divisors is an integer number (50739129000).

Almost surely, 22123116086741 is an apocalyptic number.

It is an amenable number.

2123116086741 is a deficient number, since it is larger than the sum of its proper divisors (1124188169259).

2123116086741 is a wasteful number, since it uses less digits than its factorization.

2123116086741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15998.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 2123116086741 in words is "two trillion, one hundred twenty-three billion, one hundred sixteen million, eighty-six thousand, seven hundred forty-one".

Divisors: 1 3 13 17 39 51 199 221 597 663 1097 2587 3291 3383 7761 10149 14261 14669 18649 42783 43979 44007 55947 131937 190697 218303 242437 249373 572091 654909 727311 748119 2837939 2919131 3241849 3711151 8513817 8757393 9725547 11133453 16091893 37948703 48244963 48275679 49625227 113846109 144734889 148875681 209194609 273562181 627583827 645127951 820686543 1935383853 3202286707 3556308353 9606860121 10668925059 41629727191 54438874019 124889181573 163316622057 707705362247 2123116086741