Search a number
-
+
3030023100321 = 327225726734633
BaseRepresentation
bin101100000101111011011…
…100110101011110100001
3101201200000112000210111200
4230011323130311132201
5344120441403202241
610235550130431413
7431624540253600
oct54057334653641
911650015023450
103030023100321
11a69031058388
1240b2a4732569
1318c964922619
14a6922435a37
1553c403d24b6
hex2c17b7357a1

3030023100321 has 36 divisors (see below), whose sum is σ = 5111073858852. Its totient is φ = 1724704579584.

The previous prime is 3030023100287. The next prime is 3030023100373. The reversal of 3030023100321 is 1230013200303.

3030023100321 is a `hidden beast` number, since 3 + 0 + 30 + 0 + 2 + 310 + 0 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2385959069025 + 644064031296 = 1544655^2 + 802536^2 .

It is not a de Polignac number, because 3030023100321 - 26 = 3030023100257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3030023100294 and 3030023100303.

It is not an unprimeable number, because it can be changed into a prime (3030023101321) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13253980 + ... + 13480653.

It is an arithmetic number, because the mean of its divisors is an integer number (141974273857).

Almost surely, 23030023100321 is an apocalyptic number.

It is an amenable number.

3030023100321 is a deficient number, since it is larger than the sum of its proper divisors (2081050758531).

3030023100321 is a wasteful number, since it uses less digits than its factorization.

3030023100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26734910 (or 26734900 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3030023100321 its reverse (1230013200303), we get a palindrome (4260036300624).

The spelling of 3030023100321 in words is "three trillion, thirty billion, twenty-three million, one hundred thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 257 441 771 1799 2313 5397 12593 16191 37779 113337 26734633 80203899 187142431 240611697 561427293 1309997017 1684281879 3929991051 6870800681 11789973153 20612402043 48095604767 61837206129 144286814301 336669233369 432860442903 1010007700107 3030023100321