Search a number
-
+
2134342212030 = 232578340817407
BaseRepresentation
bin11111000011110000101…
…101011001100110111110
321120001002222102022200200
4133003300231121212332
5234432113101241110
64312300412504330
7310125663315510
oct37036055314676
97501088368620
102134342212030
1175319559a0a6
122a5796a7b0a6
13126362c17a22
147543490dbb0
153a7bc1626c0
hex1f0f0b599be

2134342212030 has 96 divisors (see below), whose sum is σ = 6418455773184. Its totient is φ = 481971930048.

The previous prime is 2134342212029. The next prime is 2134342212049. The reversal of 2134342212030 is 302122434312.

2134342212030 is a `hidden beast` number, since 2 + 1 + 3 + 434 + 2 + 21 + 203 + 0 = 666.

It is a super-2 number, since 2×21343422120302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2134342211985 and 2134342212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20356414 + ... + 20460993.

It is an arithmetic number, because the mean of its divisors is an integer number (66858914304).

Almost surely, 22134342212030 is an apocalyptic number.

2134342212030 is an abundant number, since it is smaller than the sum of its proper divisors (4284113561154).

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

2134342212030 is a wasteful number, since it uses less digits than its factorization.

2134342212030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40817510 (or 40817507 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2134342212030 its reverse (302122434312), we get a palindrome (2436464646342).

The spelling of 2134342212030 in words is "two trillion, one hundred thirty-four billion, three hundred forty-two million, two hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2490 2905 3486 3735 5229 5810 7470 8715 10458 17430 26145 52290 40817407 81634814 122452221 204087035 244904442 285721849 367356663 408174070 571443698 612261105 734713326 857165547 1224522210 1428609245 1714331094 1836783315 2571496641 2857218490 3387844781 3673566630 4285827735 5142993282 6775689562 8571655470 10163534343 12857483205 16939223905 20327068686 23714913467 25714966410 30490603029 33878447810 47429826934 50817671715 60981206058 71144740401 101635343430 118574567335 142289480802 152453015145 213434221203 237149134670 304906030290 355723702005 426868442406 711447404010 1067171106015 2134342212030