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2120212608705 = 34553661914923
BaseRepresentation
bin11110110110100110100…
…001001111011011000001
321111200122021002002210000
4132312212201033123001
5234214143411434310
64302002350230213
7306115562550642
oct36664641173301
97450567062700
102120212608705
117481a481aa84
122a2ab2ab5369
13124c207cbab9
147489413b6c9
153a24197d4c0
hex1eda684f6c1

2120212608705 has 80 divisors (see below), whose sum is σ = 3873232883520. Its totient is φ = 1109202636672.

The previous prime is 2120212608697. The next prime is 2120212608763. The reversal of 2120212608705 is 5078062120212.

It is a happy number.

2120212608705 is a `hidden beast` number, since 2 + 1 + 20 + 21 + 2 + 608 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 2120212608705 - 23 = 2120212608697 is a prime.

It is a super-2 number, since 2×21202126087052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2120212608705.

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, 142069374 + ... + 142084296.

It is an arithmetic number, because the mean of its divisors is an integer number (48415411044).

Almost surely, 22120212608705 is an apocalyptic number.

It is an amenable number.

2120212608705 is a deficient number, since it is larger than the sum of its proper divisors (1753020274815).

2120212608705 is a wasteful number, since it uses less digits than its factorization.

2120212608705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21612 (or 21603 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 2120212608705 its reverse (5078062120212), we get a palindrome (7198274728917).

The spelling of 2120212608705 in words is "two trillion, one hundred twenty billion, two hundred twelve million, six hundred eight thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 265 405 477 795 1431 2385 4293 6619 7155 14923 19857 21465 33095 44769 59571 74615 99285 134307 178713 223845 297855 350807 402921 536139 671535 790919 893565 1052421 1208763 1754035 2014605 2372757 2680695 3157263 3954595 5262105 6043815 7118271 9471789 11863785 15786315 21354813 28415367 35591355 47358945 64064439 98775337 106774065 142076835 296326011 320322195 493876685 888978033 1481630055 2666934099 4444890165 5235092861 8000802297 13334670495 15705278583 26175464305 40004011485 47115835749 78526392915 141347507247 235579178745 424042521741 706737536235 2120212608705