Search a number
-
+
3002303102112 = 253210424663549
BaseRepresentation
bin101011101100000111001…
…101011011110010100000
3101122000110122221222121100
4223230013031123302200
5343142204043231422
610215123342554400
7426623604205356
oct53540715336240
911560418858540
103002303102112
11a582a6916456
12405a49298a00
1318a167a20012
14a5452b317d6
155316ba297ac
hex2bb0735bca0

3002303102112 has 36 divisors (see below), whose sum is σ = 8537799447450. Its totient is φ = 1000767700608.

The previous prime is 3002303102111. The next prime is 3002303102147. The reversal of 3002303102112 is 2112013032003.

3002303102112 is a `hidden beast` number, since 300 + 2 + 30 + 310 + 21 + 1 + 2 = 666.

3002303102112 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 only one way, i.e., 2957560699536 + 44742402576 = 1719756^2 + 211524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3002303102111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5212331487 + ... + 5212332062.

Almost surely, 23002303102112 is an apocalyptic number.

3002303102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3002303102112 is an abundant number, since it is smaller than the sum of its proper divisors (5535496345338).

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

3002303102112 is a wasteful number, since it uses less digits than its factorization.

3002303102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424663565 (or 10424663554 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3002303102112 its reverse (2112013032003), we get a palindrome (5114316134115).

The spelling of 3002303102112 in words is "three trillion, two billion, three hundred three million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10424663549 20849327098 31273990647 41698654196 62547981294 83397308392 93821971941 125095962588 166794616784 187643943882 250191925176 333589233568 375287887764 500383850352 750575775528 1000767700704 1501151551056 3002303102112