Search a number
-
+
2420030320020 = 22325291572952913
BaseRepresentation
bin100011001101110101000…
…011000010110110010100
322120100112001222220110100
4203031311003002312110
5304122210230220040
65051425132254100
7336561415213365
oct43156503026624
98510461886410
102420030320020
11853369031075
12331027311330
13147291934b81
14851b6d8bb6c
1542e3d130b30
hex233750c2d94

2420030320020 has 144 divisors (see below), whose sum is σ = 7642259548560. Its totient is φ = 619119341568.

The previous prime is 2420030319997. The next prime is 2420030320027. The reversal of 2420030320020 is 200230300242.

It can be written as a sum of positive squares in 8 ways, for example, as 391610620944 + 2028419699076 = 625788^2 + 1424226^2 .

It is a super-2 number, since 2×24200303200202 (a number of 26 digits) contains 22 as substring.

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 = 2420030319975 and 2420030320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420030320027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656917 + ... + 2295996.

It is an arithmetic number, because the mean of its divisors is an integer number (53071246865).

Almost surely, 22420030320020 is an apocalyptic number.

2420030320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420030320020 is an abundant number, since it is smaller than the sum of its proper divisors (5222229228540).

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

2420030320020 is a wasteful number, since it uses less digits than its factorization.

2420030320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953114 (or 2953109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2420030320020 its reverse (200230300242), we get a palindrome (2620260620262).

The spelling of 2420030320020 in words is "two trillion, four hundred twenty billion, thirty million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 157 174 180 261 290 314 348 435 471 522 580 628 785 870 942 1044 1305 1413 1570 1740 1884 2355 2610 2826 3140 4553 4710 5220 5652 7065 9106 9420 13659 14130 18212 22765 27318 28260 40977 45530 54636 68295 81954 91060 136590 163908 204885 273180 409770 819540 2952913 5905826 8858739 11811652 14764565 17717478 26576217 29529130 35434956 44293695 53152434 59058260 85634477 88587390 106304868 132881085 171268954 177174780 256903431 265762170 342537908 428172385 463607341 513806862 531524340 770710293 856344770 927214682 1027613724 1284517155 1390822023 1541420586 1712689540 1854429364 2318036705 2569034310 2781644046 3082841172 3853551465 4172466069 4636073410 5138068620 5563288092 6954110115 7707102930 8344932138 9272146820 13444612889 13908220230 15414205860 16689864276 20862330345 26889225778 27816440460 40333838667 41724660690 53778451556 67223064445 80667677334 83449321380 121001516001 134446128890 161335354668 201669193335 242003032002 268892257780 403338386670 484006064004 605007580005 806676773340 1210015160010 2420030320020