Search a number
-
+
2120012131320 = 2332517346407211
BaseRepresentation
bin11110110110011010100…
…100011110101111111000
321111200010021211210111200
4132312122210132233320
5234213241101200240
64301530425254200
7306110606534526
oct36663244365770
97450107753450
102120012131320
11748101641396
122a2a57934360
13124bbb108425
1474875673316
153a22e07c930
hex1ed9a91ebf8

2120012131320 has 96 divisors (see below), whose sum is σ = 7295335884720. Its totient is φ = 532081474560.

The previous prime is 2120012131301. The next prime is 2120012131373. The reversal of 2120012131320 is 231312100212.

2120012131320 is a `hidden beast` number, since 2 + 1 + 200 + 12 + 131 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120012131293 and 2120012131302.

It is a congruent number.

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, 173197486 + ... + 173209725.

Almost surely, 22120012131320 is an apocalyptic number.

2120012131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120012131320 is an abundant number, since it is smaller than the sum of its proper divisors (5175323753400).

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

2120012131320 is a wasteful number, since it uses less digits than its factorization.

2120012131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346407245 (or 346407238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2120012131320 its reverse (231312100212), we get a palindrome (2351324231532).

The spelling of 2120012131320 in words is "two trillion, one hundred twenty billion, twelve million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 346407211 692814422 1039221633 1385628844 1732036055 2078443266 2771257688 3117664899 3464072110 4156886532 5196108165 5888922587 6235329798 6928144220 8313773064 10392216330 11777845174 12470659596 13856288440 15588324495 17666767761 20784432660 23555690348 24941319192 29444612935 31176648990 35333535522 41568865320 47111380696 53000303283 58889225870 62353297980 70667071044 88333838805 106000606566 117778451740 124706595960 141334142088 176667677610 212001213132 235556903480 265001516415 353335355220 424002426264 530003032830 706670710440 1060006065660 2120012131320