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3012011100013 is a prime number
BaseRepresentation
bin101011110101001001110…
…110100000011101101101
3101122221112020021101011011
4223311021312200131231
5343322044320200023
610223410535025221
7430416304631266
oct53651166403555
911587466241134
103012011100013
11a61428819a13
124078b850b211
1318b05407cb86
14a5ad41a396d
1553538e5850d
hex2bd49da076d

3012011100013 has 2 divisors, whose sum is σ = 3012011100014. Its totient is φ = 3012011100012.

The previous prime is 3012011099969. The next prime is 3012011100041. The reversal of 3012011100013 is 3100011102103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2511204363684 + 500806736329 = 1584678^2 + 707677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3012011100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3012011099966 and 3012011100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3012011100613) 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 as a sum of consecutive naturals, namely, 1506005550006 + 1506005550007.

It is an arithmetic number, because the mean of its divisors is an integer number (1506005550007).

Almost surely, 23012011100013 is an apocalyptic number.

It is an amenable number.

3012011100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3012011100013 is an equidigital number, since it uses as much as digits as its factorization.

3012011100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 3012011100013 its reverse (3100011102103), we get a palindrome (6112022202116).

The spelling of 3012011100013 in words is "three trillion, twelve billion, eleven million, one hundred thousand, thirteen".