Search a number
-
+
2121235422120 = 2332541143715137
BaseRepresentation
bin11110110111100011011…
…110111101101110101000
321111210021112200102000100
4132313203132331232220
5234223242232001440
64302252044505400
7306153122406153
oct36674336755650
97453245612010
102121235422120
1174867a105921
122a313954b260
13125054695b39
147494dd06c9a
153a2a1669230
hex1ede37bdba8

2121235422120 has 96 divisors (see below), whose sum is σ = 7062161881320. Its totient is φ = 551866122240.

The previous prime is 2121235422067. The next prime is 2121235422151. The reversal of 2121235422120 is 212245321212.

2121235422120 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 235 + 422 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 657101541924 + 1464133880196 = 810618^2 + 1210014^2 .

It is a super-2 number, since 2×21212354221202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71842809 + ... + 71872328.

Almost surely, 22121235422120 is an apocalyptic number.

2121235422120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121235422120 is an abundant number, since it is smaller than the sum of its proper divisors (4940926459200).

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

2121235422120 is a wasteful number, since it uses less digits than its factorization.

2121235422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143715195 (or 143715188 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2121235422120 in words is "two trillion, one hundred twenty-one billion, two hundred thirty-five million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 143715137 287430274 431145411 574860548 718575685 862290822 1149721096 1293436233 1437151370 1724581644 2155727055 2586872466 2874302740 3449163288 4311454110 5173744932 5748605480 5892320617 6467181165 8622908220 10347489864 11784641234 12934362330 17245816440 17676961851 23569282468 25868724660 29461603085 35353923702 47138564936 51737449320 53030885553 58923206170 70707847404 88384809255 106061771106 117846412340 141415694808 176769618510 212123542212 235692824680 265154427765 353539237020 424247084424 530308855530 707078474040 1060617711060 2121235422120