Search a number
-
+
2430241312212 = 22327119316194993
BaseRepresentation
bin100011010111010101101…
…010111000110111010100
322121022212200210001110100
4203113111222320313110
5304304113233442322
65100234253254100
7340402434214050
oct43272552706724
98538780701410
102430241312212
1185772895669a
12332bb6a94330
1314822b25799c
14858a5154c60
15433397b9dac
hex235d5ab8dd4

2430241312212 has 144 divisors (see below), whose sum is σ = 7032330264960. Its totient is φ = 693205254144.

The previous prime is 2430241312193. The next prime is 2430241312231. The reversal of 2430241312212 is 2122131420342.

2430241312212 is a `hidden beast` number, since 2 + 4 + 30 + 2 + 413 + 1 + 2 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (2430241312193) and next prime (2430241312231).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486727188 + ... + 486732180.

It is an arithmetic number, because the mean of its divisors is an integer number (48835626840).

Almost surely, 22430241312212 is an apocalyptic number.

It is an amenable number.

2430241312212 is an abundant number, since it is smaller than the sum of its proper divisors (4602088952748).

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

2430241312212 is a wasteful number, since it uses less digits than its factorization.

2430241312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2430241312212 its reverse (2122131420342), we get a palindrome (4552372732554).

The spelling of 2430241312212 in words is "two trillion, four hundred thirty billion, two hundred forty-one million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1193 1619 2386 3238 3579 4772 4857 4993 6476 7158 8351 9714 9986 10737 11333 14316 14571 14979 16702 19428 19972 21474 22666 25053 29142 29958 33404 33999 34951 42948 44937 45332 50106 58284 59916 67998 69902 75159 89874 100212 101997 104853 135996 139804 150318 179748 203994 209706 300636 314559 407988 419412 629118 1258236 1931467 3862934 5794401 5956649 7725868 8083667 11588802 11913298 13520269 16167334 17383203 17869947 23177604 23826596 24251001 27040538 32334668 34766406 35739894 40560807 41696543 48502002 53609841 54081076 56585669 69532812 71479788 72753003 81121614 83393086 97004004 107219682 113171338 121682421 125089629 145506006 162243228 166786172 169757007 214439364 226342676 243364842 250179258 291012012 339514014 375268887 486729684 500358516 509271021 679028028 750537774 1018542042 1501075548 2037084084 9643814731 19287629462 28931444193 38575258924 57862888386 67506703117 86794332579 115725776772 135013406234 173588665158 202520109351 270026812468 347177330316 405040218702 607560328053 810080437404 1215120656106 2430241312212