Search a number
-
+
30001031301033 = 3213736915083343
BaseRepresentation
bin1101101001001001010001…
…10100000100011110101001
310221020001220110021021112200
412310210220310010132221
512413014103003113113
6143450141123330413
76214334344324602
oct664445064043651
9127201813237480
1030001031301033
119617403053861
123446498820a09
131398114cb8650
1475a0b4324da9
153705e05de873
hex1b4928d047a9

30001031301033 has 48 divisors (see below), whose sum is σ = 47376034078464. Its totient is φ = 18182911000320.

The previous prime is 30001031300881. The next prime is 30001031301097. The reversal of 30001031301033 is 33010313010003.

30001031301033 is a `hidden beast` number, since 300 + 0 + 1 + 0 + 31 + 301 + 0 + 33 = 666.

It is not a de Polignac number, because 30001031301033 - 233 = 29992441366441 is a prime.

It is a super-3 number, since 3×300010313010333 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30001031300997 and 30001031301015.

It is not an unprimeable number, because it can be changed into a prime (30001031381033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3360160 + ... + 8443502.

It is an arithmetic number, because the mean of its divisors is an integer number (987000709968).

Almost surely, 230001031301033 is an apocalyptic number.

It is an amenable number.

30001031301033 is a deficient number, since it is larger than the sum of its proper divisors (17375002777431).

30001031301033 is a wasteful number, since it uses less digits than its factorization.

30001031301033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084126 (or 5084123 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 30001031301033 its reverse (33010313010003), we get a palindrome (63011344311036).

The spelling of 30001031301033 in words is "thirty trillion, one billion, thirty-one million, three hundred one thousand, thirty-three".

Divisors: 1 3 9 13 39 73 117 219 657 691 949 2073 2847 6219 8541 8983 26949 50443 80847 151329 453987 655759 1967277 5083343 5901831 15250029 45750087 66083459 198250377 371084039 594751131 1113252117 3339756351 3512590013 4824092507 10537770039 14472277521 31613310117 43416832563 45663670169 136991010507 256419070949 410973031521 769257212847 2307771638541 3333447922337 10000343767011 30001031301033