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30003001331201 is a prime number
BaseRepresentation
bin1101101001001100111100…
…01111001000111000000001
310221020020222202020011212222
412310212132033020320001
512413032121320044301
6143451104420100425
76214434225315023
oct664463617107001
9127206882204788
1030003001331201
119618224090668
123446948534715
13139836a19b682
1475a21dc1c013
153706a853231b
hex1b499e3c8e01

30003001331201 has 2 divisors, whose sum is σ = 30003001331202. Its totient is φ = 30003001331200.

The previous prime is 30003001331141. The next prime is 30003001331239. The reversal of 30003001331201 is 10213310030003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20795424040000 + 9207577291201 = 4560200^2 + 3034399^2 .

It is a cyclic number.

It is not a de Polignac number, because 30003001331201 - 214 = 30003001314817 is a prime.

It is a super-2 number, since 2×300030013312012 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30003001331201.

It is not a weakly prime, because it can be changed into another prime (30003001331101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15001500665600 + 15001500665601.

It is an arithmetic number, because the mean of its divisors is an integer number (15001500665601).

Almost surely, 230003001331201 is an apocalyptic number.

It is an amenable number.

30003001331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

30003001331201 is an equidigital number, since it uses as much as digits as its factorization.

30003001331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 30003001331201 its reverse (10213310030003), we get a palindrome (40216311361204).

The spelling of 30003001331201 in words is "thirty trillion, three billion, one million, three hundred thirty-one thousand, two hundred one".