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111641305129 is a prime number
BaseRepresentation
bin110011111111001010…
…1110010000000101001
3101200011110210220201221
41213332111302000221
53312120133231004
6123142020342041
711031401302414
oct1477625620051
9350143726657
10111641305129
114338a673a32
1219778544921
13a6b2565583
14559118ab7b
152d86255354
hex19fe572029

111641305129 has 2 divisors, whose sum is σ = 111641305130. Its totient is φ = 111641305128.

The previous prime is 111641305121. The next prime is 111641305163. The reversal of 111641305129 is 921503146111.

It is a happy number.

It is an a-pointer prime, because the next prime (111641305163) can be obtained adding 111641305129 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111185568025 + 455737104 = 333445^2 + 21348^2 .

It is an emirp because it is prime and its reverse (921503146111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111641305129 - 23 = 111641305121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111641305094 and 111641305103.

It is not a weakly prime, because it can be changed into another prime (111641305121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55820652564 + 55820652565.

It is an arithmetic number, because the mean of its divisors is an integer number (55820652565).

Almost surely, 2111641305129 is an apocalyptic number.

It is an amenable number.

111641305129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111641305129 is an equidigital number, since it uses as much as digits as its factorization.

111641305129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 111641305129 in words is "one hundred eleven billion, six hundred forty-one million, three hundred five thousand, one hundred twenty-nine".