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111201414013 is a prime number
BaseRepresentation
bin110011110010000011…
…1101110101101111101
3101122000211002010120101
41213210013232231331
53310220030222023
6123030224121101
711014450265134
oct1474407565575
9348024063511
10111201414013
1143184332258
1219675166191
13a642397b81
14554c9a091b
152d5c8121ad
hex19e41eeb7d

111201414013 has 2 divisors, whose sum is σ = 111201414014. Its totient is φ = 111201414012.

The previous prime is 111201414007. The next prime is 111201414053. The reversal of 111201414013 is 310414102111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109784870244 + 1416543769 = 331338^2 + 37637^2 .

It is a cyclic number.

It is not a de Polignac number, because 111201414013 - 225 = 111167859581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111201414053) 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, 55600707006 + 55600707007.

It is an arithmetic number, because the mean of its divisors is an integer number (55600707007).

Almost surely, 2111201414013 is an apocalyptic number.

It is an amenable number.

111201414013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201414013 is an equidigital number, since it uses as much as digits as its factorization.

111201414013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 111201414013 its reverse (310414102111), we get a palindrome (421615516124).

The spelling of 111201414013 in words is "one hundred eleven billion, two hundred one million, four hundred fourteen thousand, thirteen".