Search a number
-
+
3032201310120 = 2332537227642741
BaseRepresentation
bin101100000111111101010…
…010000010111110101000
3101201212122022201022121200
4230013331102002332220
5344134422013410440
610240550221204200
7432032526606513
oct54077522027650
911655568638550
103032201310120
11a69a49654674
1240b7b2100660
1318cc20c94a68
14a6a8b83dd7a
1553d1b747c30
hex2c1fd482fa8

3032201310120 has 96 divisors (see below), whose sum is σ = 10120996309320. Its totient is φ = 786733309440.

The previous prime is 3032201310059. The next prime is 3032201310161. The reversal of 3032201310120 is 210131022303.

3032201310120 is a `hidden beast` number, since 3 + 0 + 32 + 201 + 310 + 120 = 666.

3032201310120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2980988714916 + 51212595204 = 1726554^2 + 226302^2 .

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 = 3032201310093 and 3032201310102.

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, 113808051 + ... + 113834690.

Almost surely, 23032201310120 is an apocalyptic number.

3032201310120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3032201310120 is an abundant number, since it is smaller than the sum of its proper divisors (7088794999200).

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

3032201310120 is a wasteful number, since it uses less digits than its factorization.

3032201310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227642795 (or 227642788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3032201310120 its reverse (210131022303), we get a palindrome (3242332332423).

The spelling of 3032201310120 in words is "three trillion, thirty-two billion, two hundred one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 227642741 455285482 682928223 910570964 1138213705 1365856446 1821141928 2048784669 2276427410 2731712892 3414641115 4097569338 4552854820 5463425784 6829282230 8195138676 8422781417 9105709640 10243923345 13658564460 16390277352 16845562834 20487846690 25268344251 27317128920 33691125668 40975693380 42113907085 50536688502 67382251336 75805032753 81951386760 84227814170 101073377004 126341721255 151610065506 168455628340 202146754008 252683442510 303220131012 336911256680 379025163765 505366885020 606440262024 758050327530 1010733770040 1516100655060 3032201310120