Search a number
-
+
30100212200020 = 225109149853108637
BaseRepresentation
bin1101101100000010000000…
…11101001011001001010100
310221120112220112121222102211
412312001000131023021110
512421130213310400040
6144003502510243204
76224445214133524
oct666010035131124
9127515815558384
1030100212200020
119655479092176
1234617581b6504
1313a458cbb8021
14760c02687684
15372e9797c8ea
hex1b604074b254

30100212200020 has 96 divisors (see below), whose sum is σ = 64294358436000. Its totient is φ = 11835560208384.

The previous prime is 30100212200011. The next prime is 30100212200021. The reversal of 30100212200020 is 2000221200103.

It can be written as a sum of positive squares in 16 ways, for example, as 19288978854084 + 10811233345936 = 4391922^2 + 3288044^2 .

It is a super-3 number, since 3×301002122000203 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30100212200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277017142 + ... + 277125778.

It is an arithmetic number, because the mean of its divisors is an integer number (669732900375).

Almost surely, 230100212200020 is an apocalyptic number.

It is an amenable number.

30100212200020 is an abundant number, since it is smaller than the sum of its proper divisors (34194146235980).

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

30100212200020 is a wasteful number, since it uses less digits than its factorization.

30100212200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109757 (or 109755 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 30100212200020 its reverse (2000221200103), we get a palindrome (32100433400123).

The spelling of 30100212200020 in words is "thirty trillion, one hundred billion, two hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 109 149 218 298 436 545 596 745 853 1090 1490 1706 2180 2980 3412 4265 8530 16241 17060 32482 64964 81205 92977 108637 127097 162410 185954 217274 254194 324820 371908 434548 464885 508388 543185 635485 929770 1086370 1270970 1859540 2172740 2541940 11841433 13853573 16186913 23682866 27707146 32373826 47365732 55414292 59207165 64747652 69267865 80934565 92667361 118414330 138535730 161869130 185334722 236828660 277071460 323738260 370669444 463336805 926673610 1764373517 1853347220 3528747034 7057494068 8821867585 10100742349 13807436789 17643735170 20201484698 27614873578 35287470340 40402969396 50503711745 55229747156 69037183945 101007423490 138074367890 202014846980 276148735780 1505010610001 3010021220002 6020042440004 7525053050005 15050106100010 30100212200020