Search a number
-
+
3003010242112 = 26372694714361
BaseRepresentation
bin101011101100110001010…
…110111101011001000000
3101122002021221120102022201
4223230301112331121000
5343200131110221422
610215321443242544
7426650251615126
oct53546126753100
911562257512281
103003010242112
11a58629aa2181
12406006079454
1318a24b38c25a
14a54bca07916
15531adb5c727
hex2bb315bd640

3003010242112 has 56 divisors (see below), whose sum is σ = 6142907973240. Its totient is φ = 1455492648960.

The previous prime is 3003010242073. The next prime is 3003010242137. The reversal of 3003010242112 is 2112420103003.

It is a happy number.

3003010242112 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 773316219456 + 2229694022656 = 879384^2 + 1493216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3003010242112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720189 + ... + 2994172.

Almost surely, 23003010242112 is an apocalyptic number.

3003010242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3003010242112 is an abundant number, since it is smaller than the sum of its proper divisors (3139897731128).

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

3003010242112 is a wasteful number, since it uses less digits than its factorization.

3003010242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714679 (or 4714669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 3003010242112 its reverse (2112420103003), we get a palindrome (5115430345115).

The spelling of 3003010242112 in words is "three trillion, three billion, ten million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 148 269 296 538 592 1076 1184 2152 2368 4304 8608 9953 17216 19906 39812 79624 159248 318496 636992 4714361 9428722 18857444 37714888 75429776 150859552 174431357 301719104 348862714 697725428 1268163109 1395450856 2536326218 2790901712 5072652436 5581803424 10145304872 11163606848 20290609744 40581219488 46922035033 81162438976 93844070066 187688140132 375376280264 750752560528 1501505121056 3003010242112